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13503896952 = 2337136183103
BaseRepresentation
bin11001001001110010…
…10001110101111000
31021212002222001010120
430210321101311320
5210123444200302
610111551213240
7655432141650
oct144471216570
937762861116
1013503896952
1157aa663717
12274a517220
1313728bc790
14921657360
155407d99bc
hex324e51d78

13503896952 has 64 divisors (see below), whose sum is σ = 41550458880. Its totient is φ = 3561466752.

The previous prime is 13503896947. The next prime is 13503897023. The reversal of 13503896952 is 25969830531.

13503896952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13503896895 and 13503896904.

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 15 ways as a sum of consecutive naturals, for example, 3089368 + ... + 3093735.

It is an arithmetic number, because the mean of its divisors is an integer number (649225920).

Almost surely, 213503896952 is an apocalyptic number.

13503896952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13503896952 is an abundant number, since it is smaller than the sum of its proper divisors (28046561928).

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

13503896952 is a wasteful number, since it uses less digits than its factorization.

13503896952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183132 (or 6183128 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 13503896952 in words is "thirteen billion, five hundred three million, eight hundred ninety-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 6183103 12366206 18549309 24732412 37098618 43281721 49464824 74197236 80380339 86563442 129845163 148394472 160760678 173126884 241141017 259690326 321521356 346253768 482282034 519380652 562662373 643042712 964564068 1038761304 1125324746 1687987119 1929128136 2250649492 3375974238 4501298984 6751948476 13503896952