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57656699665675 = 5211209660726057
BaseRepresentation
bin11010001110000001111110…
…00110100011110100001011
321120010221000112101202011221
431013000333012203310023
530024121410103300200
6322343042215502511
715100362523640155
oct1507007706436413
9246127015352157
1057656699665675
111740a083943a60
126572308087a37
132623007767726
141034856111ad5
1569ebb2d1291a
hex34703f1a3d0b

57656699665675 has 12 divisors (see below), whose sum is σ = 77993790093576. Its totient is φ = 41932145211200.

The previous prime is 57656699665627. The next prime is 57656699665687.

57656699665675 is nontrivially palindromic in base 10.

57656699665675 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57656699665675 - 27 = 57656699665547 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104830362754 + ... + 104830363303.

It is an arithmetic number, because the mean of its divisors is an integer number (6499482507798).

Almost surely, 257656699665675 is an apocalyptic number.

57656699665675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57656699665675 is a deficient number, since it is larger than the sum of its proper divisors (20337090427901).

57656699665675 is a wasteful number, since it uses less digits than its factorization.

57656699665675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209660726078 (or 209660726073 counting only the distinct ones).

The product of its digits is 115736040000, while the sum is 88.

The spelling of 57656699665675 in words is "fifty-seven trillion, six hundred fifty-six billion, six hundred ninety-nine million, six hundred sixty-five thousand, six hundred seventy-five".

Divisors: 1 5 11 25 55 275 209660726057 1048303630285 2306267986627 5241518151425 11531339933135 57656699665675