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51060516345 = 3451761121577
BaseRepresentation
bin101111100011011100…
…011010010111111001
311212210111100222120000
4233203130122113321
51314032443010340
635242404023213
73455220141066
oct574334322771
9155714328500
1051060516345
111a72236a743
129a90091b09
134a796a7ba7
142685511c6d
1514dca2bd30
hexbe371a5f9

51060516345 has 80 divisors (see below), whose sum is σ = 98504440848. Its totient is φ = 25209999360.

The previous prime is 51060516341. The next prime is 51060516391. The reversal of 51060516345 is 54361506015.

51060516345 is a `hidden beast` number, since 5 + 1 + 0 + 605 + 1 + 6 + 3 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6392961936 + 44667554409 = 79956^2 + 211347^2 .

It is not a de Polignac number, because 51060516345 - 22 = 51060516341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51060516341) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 359197 + ... + 480773.

Almost surely, 251060516345 is an apocalyptic number.

It is an amenable number.

51060516345 is a deficient number, since it is larger than the sum of its proper divisors (47443924503).

51060516345 is a wasteful number, since it uses less digits than its factorization.

51060516345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121672 (or 121663 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 51060516345 in words is "fifty-one billion, sixty million, five hundred sixteen thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 17 27 45 51 61 81 85 135 153 183 255 305 405 459 549 765 915 1037 1377 1647 2295 2745 3111 4941 5185 6885 8235 9333 15555 24705 27999 46665 83997 121577 139995 364731 419985 607885 1094193 1823655 2066809 3282579 5470965 6200427 7416197 9847737 10334045 16412895 18601281 22248591 31002135 37080985 49238685 55803843 66745773 93006405 111242955 126075349 167411529 200237319 279019215 333728865 378226047 600711957 630376745 837057645 1001186595 1134678141 1891130235 3003559785 3404034423 5673390705 10212103269 17020172115 51060516345