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56513651076 = 22344722812
BaseRepresentation
bin110100101000011110…
…011110000110000100
312101212112101221010000
4310220132132012010
51411214443313301
641543443401300
74040314052061
oct645036360604
9171775357100
1056513651076
1121a70534563
12ab52383230
13543839022c
142a41849c68
15170b640786
hexd2879e184

56513651076 has 135 divisors (see below), whose sum is σ = 151487178997. Its totient is φ = 18371465280.

The previous prime is 56513651071. The next prime is 56513651111. The reversal of 56513651076 is 67015631565.

The square root of 56513651076 is 237726.

It is a perfect power (a square), and thus also a powerful number.

56513651076 is a `hidden beast` number, since 5 + 6 + 513 + 65 + 1 + 0 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38191321476 + 18322329600 = 195426^2 + 135360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56513651071) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 201116056 + ... + 201116336.

Almost surely, 256513651076 is an apocalyptic number.

56513651076 is the 237726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56513651076

56513651076 is an abundant number, since it is smaller than the sum of its proper divisors (94973527921).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56513651076 is an equidigital number, since it uses as much as digits as its factorization.

56513651076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 56513651076 in words is "fifty-six billion, five hundred thirteen million, six hundred fifty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 281 282 324 423 562 564 843 846 1124 1269 1686 1692 2209 2529 2538 3372 3807 4418 5058 5076 6627 7587 7614 8836 10116 13207 13254 15174 15228 19881 22761 26414 26508 30348 39621 39762 45522 52828 59643 78961 79242 79524 91044 118863 119286 157922 158484 178929 236883 237726 238572 315844 356589 357858 473766 475452 620729 710649 713178 715716 947532 1069767 1241458 1421298 1426356 1862187 2131947 2139534 2482916 2842596 3711167 3724374 4263894 4279068 5586561 6395841 7422334 7448748 8527788 11133501 11173122 12791682 14844668 16759683 22267002 22346244 25583364 33400503 33519366 44534004 50279049 66801006 67038732 100201509 100558098 133602012 174424849 200403018 201116196 300604527 348849698 400806036 523274547 601209054 697699396 1046549094 1202418108 1569823641 2093098188 3139647282 4709470923 6279294564 9418941846 14128412769 18837883692 28256825538 56513651076