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56077713198 = 23213476776103
BaseRepresentation
bin110100001110011111…
…011111111100101110
312100202011002222202200
4310032133133330232
51404321343310243
641432312002330
74023441461133
oct641637377456
9170664088680
1056077713198
1121867452a21
12aa503903a6
135398c78020
1429dd9ac58a
1516d322dad3
hexd0e7dff2e

56077713198 has 96 divisors (see below), whose sum is σ = 135628286976. Its totient is φ = 16635288384.

The previous prime is 56077713193. The next prime is 56077713239. The reversal of 56077713198 is 89131777065.

56077713198 is a `hidden beast` number, since 5 + 607 + 7 + 7 + 13 + 19 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56077713193) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698815 + ... + 774917.

It is an arithmetic number, because the mean of its divisors is an integer number (1412794656).

Almost surely, 256077713198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56077713198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67814143488).

56077713198 is an abundant number, since it is smaller than the sum of its proper divisors (79550573778).

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

56077713198 is a wasteful number, since it uses less digits than its factorization.

56077713198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76238 (or 76235 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 56077713198 in words is "fifty-six billion, seventy-seven million, seven hundred thirteen thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 39 47 67 78 94 117 134 141 201 234 282 402 423 603 611 846 871 1206 1222 1742 1833 2613 3149 3666 5226 5499 6298 7839 9447 10998 15678 18894 28341 40937 56682 76103 81874 122811 152206 228309 245622 368433 456618 684927 736866 989339 1369854 1978678 2968017 3576841 5098901 5936034 7153682 8904051 10197802 10730523 15296703 17808102 21461046 30593406 32191569 45890109 46498933 64383138 66285713 91780218 92997866 132571426 139496799 198857139 239648347 278993598 397714278 418490397 479296694 596571417 718945041 836980794 1193142834 1437890082 2156835123 3115428511 4313670246 6230857022 9346285533 18692571066 28038856599 56077713198