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12752256924 = 22331129713613
BaseRepresentation
bin10111110000001011…
…11111111110011100
31012220201121202212000
423320011333332130
5202104034210144
65505221042300
7631004252421
oct137005777634
935821552760
1012752256924
115454353410
12257a856390
131282c6c674
1488d8b9d48
154e9816769
hex2f817ff9c

12752256924 has 96 divisors (see below), whose sum is σ = 36089114880. Its totient is φ = 3861950400.

The previous prime is 12752256899. The next prime is 12752256953. The reversal of 12752256924 is 42965225721.

12752256924 is a `hidden beast` number, since 12 + 7 + 52 + 2 + 569 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12752256924.

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, 3527742 + ... + 3531354.

It is an arithmetic number, because the mean of its divisors is an integer number (375928280).

Almost surely, 212752256924 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 12752256924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18044557440).

12752256924 is an abundant number, since it is smaller than the sum of its proper divisors (23336857956).

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

12752256924 is a wasteful number, since it uses less digits than its factorization.

12752256924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6608 (or 6600 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 12752256924 in words is "twelve billion, seven hundred fifty-two million, two hundred fifty-six thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2971 3613 5942 7226 8913 10839 11884 14452 17826 21678 26739 32517 32681 35652 39743 43356 53478 65034 65362 79486 80217 97551 98043 106956 119229 130068 130724 158972 160434 195102 196086 238458 294129 320868 357687 390204 392172 476916 588258 715374 882387 1073061 1176516 1430748 1764774 2146122 3529548 4292244 10734223 21468446 32202669 42936892 64405338 96608007 118076453 128810676 193216014 236152906 289824021 354229359 386432028 472305812 579648042 708458718 1062688077 1159296084 1416917436 2125376154 3188064231 4250752308 6376128462 12752256924