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13507072704 = 26342605531
BaseRepresentation
bin11001001010001010…
…11001001011000000
31021212022221101110000
430211011121023000
5210130302311304
610112143240000
7655501136466
oct144505311300
937768841400
1013507072704
115801432704
12274b5a9000
131373462118
14921c42836
15540c15939
hex3251592c0

13507072704 has 70 divisors (see below), whose sum is σ = 40039210244. Its totient is φ = 4502355840.

The previous prime is 13507072699. The next prime is 13507072717. The reversal of 13507072704 is 40727070531.

13507072704 is a `hidden beast` number, since 13 + 507 + 0 + 72 + 70 + 4 = 666.

It is a super-2 number, since 2×135070727042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1297582 + ... + 1307949.

Almost surely, 213507072704 is an apocalyptic number.

It is an amenable number.

13507072704 is an abundant number, since it is smaller than the sum of its proper divisors (26532137540).

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

13507072704 is an equidigital number, since it uses as much as digits as its factorization.

13507072704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605555 (or 2605536 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 13507072704 in words is "thirteen billion, five hundred seven million, seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 2605531 5211062 7816593 10422124 15633186 20844248 23449779 31266372 41688496 46899558 62532744 70349337 83376992 93799116 125065488 140698674 166753984 187598232 211048011 250130976 281397348 375196464 422096022 500261952 562794696 750392928 844192044 1125589392 1500785856 1688384088 2251178784 3376768176 4502357568 6753536352 13507072704