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56997641565 = 32517303724533
BaseRepresentation
bin110101000101010100…
…101111110101011101
312110010021010012020200
4311011110233311131
51413212344012230
642103453134113
74055311650054
oct650524576535
9173107105220
1056997641565
11221997567a7
12b06848a339
1354b472b337
142a89c3539b
151738d95160
hexd4552fd5d

56997641565 has 48 divisors (see below), whose sum is σ = 104646145968. Its totient is φ = 28599994368.

The previous prime is 56997641537. The next prime is 56997641579. The reversal of 56997641565 is 56514679965.

56997641565 is a `hidden beast` number, since 5 + 6 + 9 + 9 + 7 + 64 + 1 + 565 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 181198521 + 56816443044 = 13461^2 + 238362^2 .

It is not a de Polignac number, because 56997641565 - 26 = 56997641501 is a prime.

It is a super-2 number, since 2×569976415652 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2311039 + ... + 2335571.

It is an arithmetic number, because the mean of its divisors is an integer number (2180128041).

Almost surely, 256997641565 is an apocalyptic number.

It is an amenable number.

56997641565 is a deficient number, since it is larger than the sum of its proper divisors (47648504403).

56997641565 is a wasteful number, since it uses less digits than its factorization.

56997641565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27598 (or 27595 counting only the distinct ones).

The product of its digits is 61236000, while the sum is 63.

The spelling of 56997641565 in words is "fifty-six billion, nine hundred ninety-seven million, six hundred forty-one thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 3037 9111 15185 24533 27333 45555 51629 73599 122665 136665 154887 220797 258145 367995 417061 464661 774435 1103985 1251183 2085305 2323305 3753549 6255915 18767745 74506721 223520163 372533605 670560489 1117600815 1266614257 3352802445 3799842771 6333071285 11399528313 18999213855 56997641565