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12044165904 = 24324112716063
BaseRepresentation
bin10110011011110001…
…10110001100010000
31011002101020000120200
423031320312030100
5144131301302104
65311044135200
7604315502211
oct131570661420
934071200520
1012044165904
115120688121
122401697500
13119c3595b4
14823837408
154a7596b39
hex2cde36310

12044165904 has 120 divisors (see below), whose sum is σ = 34803105792. Its totient is φ = 3885719040.

The previous prime is 12044165891. The next prime is 12044165909. The reversal of 12044165904 is 40956144021.

12044165904 is a `hidden beast` number, since 1 + 20 + 4 + 41 + 6 + 590 + 4 = 666.

It is a super-2 number, since 2×120441659042 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12044165909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741777 + ... + 757839.

Almost surely, 212044165904 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 12044165904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17401552896).

12044165904 is an abundant number, since it is smaller than the sum of its proper divisors (22758939888).

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

12044165904 is a wasteful number, since it uses less digits than its factorization.

12044165904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16245 (or 16236 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12044165904 in words is "twelve billion, forty-four million, one hundred sixty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 127 144 164 246 254 328 369 381 492 508 656 738 762 984 1016 1143 1476 1524 1968 2032 2286 2952 3048 4572 5207 5904 6096 9144 10414 15621 16063 18288 20828 31242 32126 41656 46863 48189 62484 64252 83312 93726 96378 124968 128504 144567 187452 192756 249936 257008 289134 374904 385512 578268 658583 749808 771024 1156536 1317166 1975749 2040001 2313072 2634332 3951498 4080002 5268664 5927247 6120003 7902996 8160004 10537328 11854494 12240006 15805992 16320008 18360009 23708988 24480012 31611984 32640016 36720018 47417976 48960024 73440036 83640041 94835952 97920048 146880072 167280082 250920123 293760144 334560164 501840246 669120328 752760369 1003680492 1338240656 1505520738 2007360984 3011041476 4014721968 6022082952 12044165904