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12645116334 = 2331732814817
BaseRepresentation
bin10111100011011010…
…10010100110101110
31012122021000110121000
423301231102212232
5201344122210314
65450432421130
7625233500244
oct136155224656
935567013530
1012645116334
1153a9925074
12254a9a77a6
1312669c8976
1487d58a794
154e0201209
hex2f1b529ae

12645116334 has 64 divisors (see below), whose sum is σ = 28369154880. Its totient is φ = 4174894080.

The previous prime is 12645116251. The next prime is 12645116371. The reversal of 12645116334 is 43361154621.

12645116334 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 5 + 11 + 633 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2622694 + ... + 2627510.

It is an arithmetic number, because the mean of its divisors is an integer number (443268045).

Almost surely, 212645116334 is an apocalyptic number.

12645116334 is an abundant number, since it is smaller than the sum of its proper divisors (15724038546).

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

12645116334 is a wasteful number, since it uses less digits than its factorization.

12645116334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282 (or 5276 counting only the distinct ones).

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

The spelling of 12645116334 in words is "twelve billion, six hundred forty-five million, one hundred sixteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 173 281 346 519 562 843 1038 1557 1686 2529 3114 4671 4817 5058 7587 9342 9634 14451 15174 28902 43353 48613 86706 97226 130059 145839 260118 291678 437517 833341 875034 1312551 1353577 1666682 2500023 2625102 2707154 4060731 5000046 7500069 8121462 12182193 15000138 22500207 24364386 36546579 45000414 73093158 234168821 468337642 702506463 1405012926 2107519389 4215038778 6322558167 12645116334