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13709015325 = 3252101603257
BaseRepresentation
bin11001100010001111…
…01111100100011101
31022101101221010122100
430301013233210131
5211034001442300
610144155435313
7663502464465
oct146107574435
938341833570
1013709015325
1158a5422135
1227a7155b39
1313a62496b5
149409acba5
15553805700
hex3311ef91d

13709015325 has 36 divisors (see below), whose sum is σ = 24797523348. Its totient is φ = 7239072000.

The previous prime is 13709015303. The next prime is 13709015357. The reversal of 13709015325 is 52351090731.

13709015325 is a `hidden beast` number, since 1 + 37 + 0 + 90 + 1 + 532 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 289646361 + 13419368964 = 17019^2 + 115842^2 .

It is not a de Polignac number, because 13709015325 - 25 = 13709015293 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13709015325.

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 35 ways as a sum of consecutive naturals, for example, 278904 + ... + 324353.

It is an arithmetic number, because the mean of its divisors is an integer number (688820093).

Almost surely, 213709015325 is an apocalyptic number.

13709015325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13709015325 is a deficient number, since it is larger than the sum of its proper divisors (11088508023).

13709015325 is a wasteful number, since it uses less digits than its factorization.

13709015325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603374 (or 603366 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 13709015325 in words is "thirteen billion, seven hundred nine million, fifteen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 101 225 303 505 909 1515 2525 4545 7575 22725 603257 1809771 3016285 5429313 9048855 15081425 27146565 45244275 60928957 135732825 182786871 304644785 548360613 913934355 1523223925 2741803065 4569671775 13709015325