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12642331610502 = 23211433147459953
BaseRepresentation
bin1011011111111000010110…
…1011110100110110000110
31122202121001211022210002200
42313332011223310312012
53124112443343014002
642515450145415330
72443243522426416
oct267760553646606
948677054283080
1012642331610502
114034645677970
12150220333a546
13709222491819
14319c6bd6a646
1516dcc92dcb1c
hexb7f85af4d86

12642331610502 has 48 divisors (see below), whose sum is σ = 29950886176848. Its totient is φ = 3822161955840.

The previous prime is 12642331610479. The next prime is 12642331610567. The reversal of 12642331610502 is 20501613324621.

12642331610502 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 2 + 3 + 31 + 610 + 5 + 0 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73644243 + ... + 73815710.

It is an arithmetic number, because the mean of its divisors is an integer number (623976795351).

Almost surely, 212642331610502 is an apocalyptic number.

12642331610502 is an abundant number, since it is smaller than the sum of its proper divisors (17308554566346).

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

12642331610502 is a wasteful number, since it uses less digits than its factorization.

12642331610502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147460405 (or 147460402 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 12642331610502 in words is "twelve trillion, six hundred forty-two billion, three hundred thirty-one million, six hundred ten thousand, five hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 433 866 1299 2598 3897 4763 7794 9526 14289 28578 42867 85734 147459953 294919906 442379859 884759718 1327139577 1622059483 2654279154 3244118966 4866178449 9732356898 14598535347 29197070694 63850159649 127700319298 191550478947 383100957894 574651436841 702351756139 1149302873682 1404703512278 2107055268417 4214110536834 6321165805251 12642331610502