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252052023260 = 225237920113449
BaseRepresentation
bin1110101010111101111…
…0001010011111011100
3220002120221100102211202
43222233132022133130
513112200304221020
6311442513335032
724132040563602
oct3525736123734
9802527312752
10252052023260
1197992883744
1240a23867478
131a9cb24c53b
14c2b116d872
156853055e75
hex3aaf78a7dc

252052023260 has 96 divisors (see below), whose sum is σ = 559754496000. Its totient is φ = 95141629440.

The previous prime is 252052023257. The next prime is 252052023277. The reversal of 252052023260 is 62320250252.

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, 73078016 + ... + 73081464.

It is an arithmetic number, because the mean of its divisors is an integer number (5830776000).

Almost surely, 2252052023260 is an apocalyptic number.

252052023260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252052023260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279877248000).

252052023260 is an abundant number, since it is smaller than the sum of its proper divisors (307702472740).

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

252052023260 is a wasteful number, since it uses less digits than its factorization.

252052023260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5571 (or 5569 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 252052023260 in words is "two hundred fifty-two billion, fifty-two million, twenty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 79 92 115 158 230 316 395 460 790 1580 1817 2011 3449 3634 4022 6898 7268 8044 9085 10055 13796 17245 18170 20110 34490 36340 40220 46253 68980 79327 92506 158654 158869 185012 231265 272471 317308 317738 396635 462530 544942 635476 793270 794345 925060 1089884 1362355 1586540 1588690 2724710 3177380 3653987 5449420 6266833 6935939 7307974 12533666 13871878 14615948 18269935 25067332 27743756 31334165 34679695 36539870 62668330 69359390 73079740 125336660 138718780 159526597 319053194 547939181 638106388 797632985 1095878362 1595265970 2191756724 2739695905 3190531940 5479391810 10958783620 12602601163 25205202326 50410404652 63013005815 126026011630 252052023260