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56537354313 = 321119319071069
BaseRepresentation
bin110100101001111000…
…111001000001001001
312101221012000011211200
4310221320321001021
51411242030314223
641550051414413
74041022403526
oct645170710111
9171835004750
1056537354313
1121a82954110
12ab5a2b4409
13544026c10b
142a44a5a14d
15170d773a43
hexd29e39049

56537354313 has 96 divisors (see below), whose sum is σ = 97000550400. Its totient is φ = 31350499200.

The previous prime is 56537354287. The next prime is 56537354317. The reversal of 56537354313 is 31345373565.

56537354313 is a `hidden beast` number, since 5 + 65 + 37 + 3 + 543 + 13 = 666.

It is not a de Polignac number, because 56537354313 - 212 = 56537350217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56537354317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52887543 + ... + 52888611.

It is an arithmetic number, because the mean of its divisors is an integer number (1010422400).

Almost surely, 256537354313 is an apocalyptic number.

It is an amenable number.

56537354313 is a deficient number, since it is larger than the sum of its proper divisors (40463196087).

56537354313 is a wasteful number, since it uses less digits than its factorization.

56537354313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2040 counting only the distinct ones).

The product of its digits is 1701000, while the sum is 45.

The spelling of 56537354313 in words is "fifty-six billion, five hundred thirty-seven million, three hundred fifty-four thousand, three hundred thirteen".

Divisors: 1 3 9 11 19 31 33 57 93 99 171 209 279 341 589 627 907 1023 1069 1767 1881 2721 3069 3207 5301 6479 8163 9621 9977 11759 17233 19437 20311 28117 29931 33139 35277 51699 58311 60933 84351 89793 99417 105831 155097 182799 189563 223421 253053 298251 309287 364529 534223 568689 629641 670263 927861 969583 1093587 1602669 1706067 1888923 2010789 2783583 2908749 3280761 4808007 5666769 5876453 6926051 8726247 10665413 17629359 18422077 20778153 30057073 31996239 52888077 55266231 62334459 90171219 95988717 165798693 202642847 270513657 330627803 571084387 607928541 991883409 1713253161 1823785623 2975650227 5139759483 6281928257 18845784771 56537354313