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12045975116916 = 22313196427632347
BaseRepresentation
bin1010111101001010110000…
…0100010101110001110100
31120122120202201101000210110
42233102230010111301310
53034330124112220131
641341502232223020
72352202331034156
oct257225404256164
946576681330713
1012045975116916
11392473aa086a4
12142671083aa70
13694c13637c90
142d905795cad6
1515d524277646
hexaf4ac115c74

12045975116916 has 96 divisors (see below), whose sum is σ = 31867506280960. Its totient is φ = 3510825462144.

The previous prime is 12045975116827. The next prime is 12045975116933. The reversal of 12045975116916 is 61961157954021.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 18733455 + ... + 19365801.

Almost surely, 212045975116916 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 12045975116916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15933753140480).

12045975116916 is an abundant number, since it is smaller than the sum of its proper divisors (19821531164044).

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

12045975116916 is a wasteful number, since it uses less digits than its factorization.

12045975116916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638813 (or 638811 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 57.

The spelling of 12045975116916 in words is "twelve trillion, forty-five billion, nine hundred seventy-five million, one hundred sixteen thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 2964 6427 12854 19281 25708 38562 77124 83551 122113 167102 244226 250653 334204 366339 488452 501306 632347 732678 1002612 1264694 1465356 1587469 1897041 2529388 3174938 3794082 4762407 6349876 7588164 8220511 9524814 12014593 16441022 19049628 24029186 24661533 32882044 36043779 48058372 49323066 72087558 98646132 144175116 156189709 312379418 468569127 624758836 937138254 1874276508 4064094169 8128188338 12192282507 16256376676 24384565014 48769130028 52833224197 77217789211 105666448394 154435578422 158499672591 211332896788 231653367633 308871156844 316999345182 463306735266 633998690364 926613470532 1003831259743 2007662519486 3011493779229 4015325038972 6022987558458 12045975116916