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56837615013 = 32415921112373
BaseRepresentation
bin110100111011110010…
…010010110110100101
312102201010000000002100
4310323302102312211
51412400412140023
642035535202313
74051326520254
oct647362226645
9172633000070
1056837615013
1122117396453
12b022976399
13548a52b77a
142a7289a79b
151729cd4c43
hexd3bc92da5

56837615013 has 48 divisors (see below), whose sum is σ = 85938914880. Its totient is φ = 36165830400.

The previous prime is 56837614991. The next prime is 56837615017. The reversal of 56837615013 is 31051673865.

56837615013 is a `hidden beast` number, since 5 + 6 + 83 + 7 + 61 + 501 + 3 = 666.

It is not a de Polignac number, because 56837615013 - 213 = 56837606821 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56837615013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56837615017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4587495 + ... + 4599867.

It is an arithmetic number, because the mean of its divisors is an integer number (1790394060).

Almost surely, 256837615013 is an apocalyptic number.

It is an amenable number.

56837615013 is a deficient number, since it is larger than the sum of its proper divisors (29101299867).

56837615013 is a wasteful number, since it uses less digits than its factorization.

56837615013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12690 (or 12687 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 56837615013 in words is "fifty-six billion, eight hundred thirty-seven million, six hundred fifteen thousand, thirteen".

Divisors: 1 3 9 41 59 123 177 211 369 531 633 1899 2419 7257 8651 12373 12449 21771 25953 37119 37347 77859 111357 112041 507293 510409 730007 1521879 1531227 2190021 2610703 4565637 4593681 6570063 7832109 23496327 29930287 89790861 107038823 154031477 269372583 321116469 462094431 963349407 1386283293 6315290557 18945871671 56837615013