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12520028664 = 233211131216009
BaseRepresentation
bin10111010100100000…
…00111100111111000
31012022112122100120100
423222100013213320
5201120111404124
65430203355400
7622154326203
oct135220074770
935275570510
1012520028664
115345258930
122514b22b60
131246b100b0
1486ab0893a
154d42431c9
hex2ea4079f8

12520028664 has 96 divisors (see below), whose sum is σ = 39836487600. Its totient is φ = 3502103040.

The previous prime is 12520028659. The next prime is 12520028671. The reversal of 12520028664 is 46682002521.

It is a happy number.

12520028664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×125200286642 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 597709 + ... + 618300.

Almost surely, 212520028664 is an apocalyptic number.

It is an amenable number.

12520028664 is an abundant number, since it is smaller than the sum of its proper divisors (27316458936).

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

12520028664 is a wasteful number, since it uses less digits than its factorization.

12520028664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216045 (or 1216038 counting only the distinct ones).

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

The spelling of 12520028664 in words is "twelve billion, five hundred twenty million, twenty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 1216009 2432018 3648027 4864036 7296054 9728072 10944081 13376099 14592108 15808117 21888162 26752198 29184216 31616234 40128297 43776324 47424351 53504396 63232468 80256594 87552648 94848702 107008792 120384891 126464936 142273053 160513188 173889287 189697404 240769782 284546106 321026376 347778574 379394808 481539564 521667861 569092212 695557148 963079128 1043335722 1138184424 1391114296 1565003583 2086671444 3130007166 4173342888 6260014332 12520028664