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56560170264 = 233131512694463
BaseRepresentation
bin110100101011001111…
…111011010100011000
312101222202221100102220
4310223033323110120
51411313400422024
641552224424040
74041420341403
oct645317732430
9171882840386
1056560170264
1121a94818074
12ab65a78020
135444bca190
142a47ab8d3a
15171077de79
hexd2b3fb518

56560170264 has 128 divisors (see below), whose sum is σ = 153890150400. Its totient is φ = 17219750400.

The previous prime is 56560170257. The next prime is 56560170341. The reversal of 56560170264 is 46207106565.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12670897 + ... + 12675359.

It is an arithmetic number, because the mean of its divisors is an integer number (1202266800).

Almost surely, 256560170264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56560170264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76945075200).

56560170264 is an abundant number, since it is smaller than the sum of its proper divisors (97329980136).

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

56560170264 is a wasteful number, since it uses less digits than its factorization.

56560170264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905 (or 4901 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 56560170264 in words is "fifty-six billion, five hundred sixty million, one hundred seventy thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 151 156 269 302 312 453 538 604 807 906 1076 1208 1614 1812 1963 2152 3228 3497 3624 3926 4463 5889 6456 6994 7852 8926 10491 11778 13389 13988 15704 17852 20982 23556 26778 27976 35704 40619 41964 47112 53556 58019 81238 83928 107112 116038 121857 162476 174057 232076 243714 324952 348114 464152 487428 528047 673913 696228 974856 1056094 1200547 1347826 1392456 1584141 2021739 2112188 2401094 2695652 3168282 3601641 4043478 4224376 4802188 5391304 6336564 7203282 8086956 8760869 9604376 12673128 14406564 15607111 16173912 17521738 26282607 28813128 31214222 35043476 46821333 52565214 62428444 70086952 93642666 105130428 124856888 181282597 187285332 210260856 362565194 374570664 543847791 725130388 1087695582 1450260776 2175391164 2356673761 4350782328 4713347522 7070021283 9426695044 14140042566 18853390088 28280085132 56560170264