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12907045857615 = 357313278969191
BaseRepresentation
bin1011101111010010011111…
…1000100010100101001111
31200200220100012212211122020
42323310213320202211033
53142432112214420430
643241225350421223
72501334425415000
oct273644770424517
950626305784566
1012907045857615
11412693599a818
12154557b661813
1372818ab196c0
143289c0a5b1a7
15175b1dcc3b10
hexbbd27e2294f

12907045857615 has 128 divisors (see below), whose sum is σ = 25945339392000. Its totient is φ = 5444458145280.

The previous prime is 12907045857571. The next prime is 12907045857649. The reversal of 12907045857615 is 51675854070921.

It is a happy number.

It is not a de Polignac number, because 12907045857615 - 27 = 12907045857487 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 186507670 + ... + 186576860.

It is an arithmetic number, because the mean of its divisors is an integer number (202697964000).

Almost surely, 212907045857615 is an apocalyptic number.

12907045857615 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12907045857615 is an abundant number, since it is smaller than the sum of its proper divisors (13038293534385).

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

12907045857615 is a wasteful number, since it uses less digits than its factorization.

12907045857615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72022 (or 72008 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 60.

The spelling of 12907045857615 in words is "twelve trillion, nine hundred seven billion, forty-five million, eight hundred fifty-seven thousand, six hundred fifteen".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 343 455 637 735 1029 1365 1715 1911 2789 3185 4459 5145 8367 9555 13377 13945 19523 22295 36257 41835 58569 66885 69191 97615 108771 136661 181285 207573 253799 292845 345955 409983 484337 543855 683305 761397 899483 956627 1037865 1268995 1453011 1776593 2049915 2421685 2698449 2869881 3390359 3806985 4497415 4783135 5329779 6296381 7265055 8882965 10171077 12436151 13492245 14349405 16951795 18889143 23732513 26648895 31481905 37308453 44074667 50855385 62180755 71197539 94445715 118662565 132224001 186542265 192973699 220373335 308522669 355987695 578921097 661120005 925568007 964868495 1350815893 1542613345 2508658087 2894605485 4052447679 4627840035 6754079465 7525974261 9455711251 12543290435 17560606609 20262238395 28367133753 37629871305 47278556255 52681819827 66189978757 87803033045 122924246263 141835668765 198569936271 263409099135 330949893785 368772738789 614621231315 860469723841 992849681355 1843863693945 2581409171523 4302348619205 12907045857615