Properties of the Number 66112

Sixty-Six Thousand One Hundred Twelve

Basics

Value: 66111 → 66112 → 66113

Parity: even

Prime: No

Previous Prime: 66109

Next Prime: 66137

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁶ × 1033

Divisors: 1, 2, 4, 8, 16, 32, 64, 1033, 2066, 4132

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000001001000000

Octal: 201100

Duodecimal: 32314

Hexadecimal: 10240

Square: 4370796544

Square Root: 257.12253887981115

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Least k such that there are exactly n ways to choose a set consisting of a different binary index of each binary index of k. A368184

Sorted list of positions of first appearances in A368183 (number of sets that can be obtained by choosing a different binary index of each binary index). A368185

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j) = gcd(i+1, j+1) (A204030). A204111

Dirichlet convolution of b_n=2^n-1 with itself. A34733

Numbers n such that each binary index k (from row n of A048793) has the same sum of binary indices A029931(k). A371732

Numbers k such that sigma₄(k)/sigma₂(k) is an integer but not a prime. A66112

G.f.: A(x) = exp( ∑_n>=1 xⁿ/n·2^n²/(1 - 2^n²*xⁿ) ). A158097

Number of Hamiltonian paths in K₅ X P_n. A3750