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12807647820 = 22325116468509
BaseRepresentation
bin10111110110110010…
…10011001001001100
31020001120211220212200
423323121103021030
5202212224212240
65514520201500
7632246132052
oct137331231114
936046756780
1012807647820
115482646410
122595309290
131291594746
14896db81d2
154ee608930
hex2fb65324c

12807647820 has 72 divisors (see below), whose sum is σ = 42381677520. Its totient is φ = 3104883840.

The previous prime is 12807647767. The next prime is 12807647837. The reversal of 12807647820 is 2874670821.

12807647820 is a `hidden beast` number, since 12 + 80 + 76 + 478 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3232275 + ... + 3236234.

It is an arithmetic number, because the mean of its divisors is an integer number (588634410).

Almost surely, 212807647820 is an apocalyptic number.

12807647820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12807647820 is an abundant number, since it is smaller than the sum of its proper divisors (29574029700).

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

12807647820 is a wasteful number, since it uses less digits than its factorization.

12807647820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6468535 (or 6468530 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 12807647820 in words is "twelve billion, eight hundred seven million, six hundred forty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 6468509 12937018 19405527 25874036 32342545 38811054 58216581 64685090 71153599 77622108 97027635 116433162 129370180 142307198 194055270 213460797 232866324 284614396 291082905 355767995 388110540 426921594 582165810 640382391 711535990 853843188 1067303985 1164331620 1280764782 1423071980 2134607970 2561529564 3201911955 4269215940 6403823910 12807647820