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52165645056 = 283371078159
BaseRepresentation
bin110000100101010100…
…001001001100000000
311222122111212100011000
4300211110021030000
51323313401120211
635544202452000
73524466444510
oct604524111400
9158574770130
1052165645056
112013a168258
12a13a204000
134bc46330c5
14274c1c7840
151554a77656
hexc25509300

52165645056 has 144 divisors (see below), whose sum is σ = 176300723200. Its totient is φ = 14904456192.

The previous prime is 52165645043. The next prime is 52165645057. The reversal of 52165645056 is 65054656125.

52165645056 is a `hidden beast` number, since 5 + 21 + 65 + 64 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (52165645057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490696 + ... + 587463.

Almost surely, 252165645056 is an apocalyptic number.

52165645056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

52165645056 is an abundant number, since it is smaller than the sum of its proper divisors (124135078144).

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

52165645056 is a wasteful number, since it uses less digits than its factorization.

52165645056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078191 (or 1078171 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 52165645056 in words is "fifty-two billion, one hundred sixty-five million, six hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 1078159 2156318 3234477 4312636 6468954 7547113 8625272 9703431 12937908 15094226 17250544 19406862 22641339 25875816 29110293 30188452 34501088 38813724 45282678 51751632 58220586 60376904 67924017 69002176 77627448 90565356 103503264 116441172 120753808 135848034 138004352 155254896 181130712 203772051 207006528 232882344 241507616 271696068 276008704 310509792 362261424 407544102 414013056 465764688 483015232 543392136 621019584 724522848 815088204 828026112 931529376 966030464 1086784272 1242039168 1449045696 1630176408 1863058752 1932060928 2173568544 2484078336 2898091392 3260352816 3726117504 4347137088 5796182784 6520705632 7452235008 8694274176 13041411264 17388548352 26082822528 52165645056