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13127907504 = 243537616781
BaseRepresentation
bin11000011100111101…
…11111100010110000
31020212220110210120110
430032132333202300
5203341221020004
610010400341320
7643215241545
oct141636774260
936786423513
1013127907504
1156273a8238
122664614840
131312a36c0a
148c7742bcc
1551c7ba589
hex30e7bf8b0

13127907504 has 80 divisors (see below), whose sum is σ = 34604151264. Its totient is φ = 4287129600.

The previous prime is 13127907493. The next prime is 13127907613. The reversal of 13127907504 is 40570972131.

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 15 ways as a sum of consecutive naturals, for example, 1932594 + ... + 1939374.

Almost surely, 213127907504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13127907504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17302075632).

13127907504 is an abundant number, since it is smaller than the sum of its proper divisors (21476243760).

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

13127907504 is a wasteful number, since it uses less digits than its factorization.

13127907504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7606 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 13127907504 in words is "thirteen billion, one hundred twenty-seven million, nine hundred seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 761 848 1272 1522 2283 2544 3044 4566 6088 6781 9132 12176 13562 18264 20343 27124 36528 40333 40686 54248 80666 81372 108496 120999 161332 162744 241998 322664 325488 359393 483996 645328 718786 967992 1078179 1437572 1935984 2156358 2875144 4312716 5160341 5750288 8625432 10320682 15481023 17250864 20641364 30962046 41282728 61924092 82565456 123848184 247696368 273498073 546996146 820494219 1093992292 1640988438 2187984584 3281976876 4375969168 6563953752 13127907504