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52909576164 = 22341621100741
BaseRepresentation
bin110001010001101010…
…000000111111100100
312001120100200221210000
4301101222000333210
51331324322414124
640150055501300
73552101656044
oct612152007744
9161510627700
1052909576164
1120491092755
12a307387830
134cb27b4423
1427bcd19724
15159a0266c9
hexc51a80fe4

52909576164 has 60 divisors (see below), whose sum is σ = 138402784828. Its totient is φ = 17625470400.

The previous prime is 52909576141. The next prime is 52909576171. The reversal of 52909576164 is 46167590925.

52909576164 is a `hidden beast` number, since 5 + 2 + 9 + 0 + 9 + 576 + 1 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32529729600 + 20379846564 = 180360^2 + 142758^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 52909576164.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 474834 + ... + 575574.

Almost surely, 252909576164 is an apocalyptic number.

52909576164 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

52909576164 is an abundant number, since it is smaller than the sum of its proper divisors (85493208664).

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

52909576164 is a wasteful number, since it uses less digits than its factorization.

52909576164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102378 (or 102367 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 52909576164 in words is "fifty-two billion, nine hundred nine million, five hundred seventy-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1621 3242 4863 6484 9726 14589 19452 29178 43767 58356 87534 100741 131301 175068 201482 262602 302223 402964 525204 604446 906669 1208892 1813338 2720007 3626676 5440014 8160021 10880028 16320042 32640084 163301161 326602322 489903483 653204644 979806966 1469710449 1959613932 2939420898 4409131347 5878841796 8818262694 13227394041 17636525388 26454788082 52909576164