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46938666683964 = 22311822143254587
BaseRepresentation
bin10101010110000110000101…
…00011011100111000111100
320011012021220101102201012010
422223003002203130320330
522123020342132341324
6243455154212011220
712613130626526406
oct1253030243347074
9204167811381163
1046938666683964
1113a57638722280
125321040600b10
1320263b31647c3
14b83bb4b47b76
15565eb0ae6829
hex2ab0c28dce3c

46938666683964 has 48 divisors (see below), whose sum is σ = 119494778772096. Its totient is φ = 14222107876800.

The previous prime is 46938666683917. The next prime is 46938666684061.

It is a happy number.

46938666683964 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20542122 + ... + 22712465.

It is an arithmetic number, because the mean of its divisors is an integer number (2489474557752).

Almost surely, 246938666683964 is an apocalyptic number.

46938666683964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46938666683964 is an abundant number, since it is smaller than the sum of its proper divisors (72556112088132).

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

46938666683964 is a wasteful number, since it uses less digits than its factorization.

46938666683964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43262826 (or 43262824 counting only the distinct ones).

The product of its digits is 34828517376, while the sum is 84.

The spelling of 46938666683964 in words is "forty-six trillion, nine hundred thirty-eight billion, six hundred sixty-six million, six hundred eighty-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 8221 16442 24663 32884 49326 90431 98652 180862 271293 361724 542586 1085172 43254587 86509174 129763761 173018348 259527522 475800457 519055044 951600914 1427401371 1903201828 2854802742 5709605484 355595959727 711191919454 1066787879181 1422383838908 2133575758362 3911555556997 4267151516724 7823111113994 11734666670991 15646222227988 23469333341982 46938666683964