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12645867864 = 2337230735027
BaseRepresentation
bin10111100011100000…
…01010000101011000
31012122022102122111110
423301300022011120
5201344320232424
65450500500320
7625243050300
oct136160120530
935568378443
1012645867864
1153aa298773
12254b0aa6a0
131266bcca66
1487d704600
154e02edc29
hex2f1c0a158

12645867864 has 96 divisors (see below), whose sum is σ = 36897094080. Its totient is φ = 3601233216.

The previous prime is 12645867847. The next prime is 12645867887. The reversal of 12645867864 is 46876854621.

It is a congruent number.

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, 343519 + ... + 378545.

It is an arithmetic number, because the mean of its divisors is an integer number (384344730).

Almost surely, 212645867864 is an apocalyptic number.

12645867864 is a gapful number since it is divisible by the number (14) 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 12645867864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18448547040).

12645867864 is an abundant number, since it is smaller than the sum of its proper divisors (24251226216).

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

12645867864 is a wasteful number, since it uses less digits than its factorization.

12645867864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35357 (or 35346 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 57.

The spelling of 12645867864 in words is "twelve billion, six hundred forty-five million, eight hundred sixty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 307 392 588 614 921 1176 1228 1842 2149 2456 3684 4298 6447 7368 8596 12894 15043 17192 25788 30086 35027 45129 51576 60172 70054 90258 105081 120344 140108 180516 210162 245189 280216 361032 420324 490378 735567 840648 980756 1471134 1716323 1961512 2942268 3432646 5148969 5884536 6865292 10297938 10753289 13730584 20595876 21506578 32259867 41191752 43013156 64519734 75273023 86026312 129039468 150546046 225819069 258078936 301092092 451638138 526911161 602184184 903276276 1053822322 1580733483 1806552552 2107644644 3161466966 4215289288 6322933932 12645867864