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12014832564 = 22327311537997
BaseRepresentation
bin10110011000010001…
…11100101110110100
31011000100000201210200
423030020330232310
5144101244120224
65304115320500
7603511251240
oct131410745664
934010021720
1012014832564
115106072599
1223b38b0130
131196258ba7
1481d99d420
154a4c005c9
hex2cc23cbb4

12014832564 has 72 divisors (see below), whose sum is σ = 35829201408. Its totient is φ = 3322071360.

The previous prime is 12014832563. The next prime is 12014832589. The reversal of 12014832564 is 46523841021.

It is a happy number.

12014832564 is a `hidden beast` number, since 1 + 2 + 0 + 14 + 83 + 2 + 564 = 666.

12014832564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12014832563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 761187 + ... + 776810.

Almost surely, 212014832564 is an apocalyptic number.

12014832564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12014832564 is an abundant number, since it is smaller than the sum of its proper divisors (23814368844).

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

12014832564 is a wasteful number, since it uses less digits than its factorization.

12014832564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538045 (or 1538040 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12014832564 in words is "twelve billion, fourteen million, eight hundred thirty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7812 1537997 3075994 4613991 6151988 9227982 10765979 13841973 18455964 21531958 27683946 32297937 43063916 47677907 55367892 64595874 95355814 96893811 129191748 143033721 190711628 193787622 286067442 333745349 387575244 429101163 572134884 667490698 858202326 1001236047 1334981396 1716404652 2002472094 3003708141 4004944188 6007416282 12014832564