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12655768972 = 22711231412939
BaseRepresentation
bin10111100100101011…
…11011010110001100
31012200000001200021011
423302111323112030
5201404334101342
65451453015004
7625423155430
oct136225732614
935600050234
1012655768972
115404940600
122552484464
131268c885c2
14880b609c0
154e1107717
hex2f257b58c

12655768972 has 144 divisors (see below), whose sum is σ = 29429729280. Its totient is φ = 4653792000.

The previous prime is 12655768969. The next prime is 12655768973. The reversal of 12655768972 is 27986755621.

It is not an unprimeable number, because it can be changed into a prime (12655768973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4304679 + ... + 4307617.

It is an arithmetic number, because the mean of its divisors is an integer number (204373120).

Almost surely, 212655768972 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 12655768972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714864640).

12655768972 is an abundant number, since it is smaller than the sum of its proper divisors (16773960308).

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

12655768972 is a wasteful number, since it uses less digits than its factorization.

12655768972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3031 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 58.

The spelling of 12655768972 in words is "twelve billion, six hundred fifty-five million, seven hundred sixty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 31 41 44 62 77 82 121 124 154 164 217 242 287 308 341 434 451 484 574 682 847 868 902 1148 1271 1364 1694 1804 2387 2542 2939 3157 3388 3751 4774 4961 5084 5878 6314 7502 8897 9548 9922 11756 12628 13981 15004 17794 19844 20573 26257 27962 32329 34727 35588 41146 52514 55924 64658 69454 82292 91109 97867 105028 120499 129316 138908 153791 182218 195734 226303 240998 307582 355619 364436 391468 452606 481996 615164 637763 711238 843493 905212 1002199 1076537 1275526 1325489 1422476 1686986 2004398 2153074 2489333 2551052 2650978 3373972 3735469 4008796 4306148 4978666 5301956 7015393 7470938 9278423 9957332 11024189 14030786 14580379 14941876 18556846 22048378 26148283 28061572 29160758 37113692 41090159 44096756 52296566 58321516 77169323 82180318 102062653 104593132 154338646 164360636 204125306 287631113 308677292 408250612 451991749 575262226 903983498 1150524452 1807966996 3163942243 6327884486 12655768972