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13956132915 = 3251726967819
BaseRepresentation
bin11001111111101100…
…11011000000110011
31100000121221000020200
430333312123000303
5212040232223130
610224504210243
71002563113104
oct147766330063
940017830220
1013956132915
115a1196724a
122855a69983
1314154c011a
149657383ab
1556a36a760
hex33fd9b033

13956132915 has 48 divisors (see below), whose sum is σ = 25709205600. Its totient is φ = 6979286016.

The previous prime is 13956132899. The next prime is 13956132961. The reversal of 13956132915 is 51923165931.

13956132915 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 613 + 29 + 1 + 5 = 666.

It is not a de Polignac number, because 13956132915 - 24 = 13956132899 is a prime.

It is a super-2 number, since 2×139561329152 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171876 + ... + 239694.

It is an arithmetic number, because the mean of its divisors is an integer number (535608450).

Almost surely, 213956132915 is an apocalyptic number.

13956132915 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13956132915 is a deficient number, since it is larger than the sum of its proper divisors (11753072685).

13956132915 is a wasteful number, since it uses less digits than its factorization.

13956132915 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68116 (or 68113 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The spelling of 13956132915 in words is "thirteen billion, nine hundred fifty-six million, one hundred thirty-two thousand, nine hundred fifteen".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 269 765 807 1345 2421 4035 4573 12105 13719 22865 41157 67819 68595 203457 205785 339095 610371 1017285 1152923 3051855 3458769 5764615 10376307 17293845 18243311 51881535 54729933 91216555 164189799 273649665 310136287 820948995 930408861 1550681435 2791226583 4652044305 13956132915