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13322930625 = 31054192
BaseRepresentation
bin11000110100001101…
…11100100111000001
31021101111110000000000
430122012330213001
5204241132240000
610042004350213
7651104020224
oct143206744701
937344400000
1013322930625
1157174a0a74
1226b99a5369
13134426ab04
149055cb5bb
1552e990000
hex31a1bc9c1

13322930625 has 165 divisors, whose sum is σ = 26355870453. Its totient is φ = 6731586000.

The previous prime is 13322930477. The next prime is 13322930657. The reversal of 13322930625 is 52603922331.

The square root of 13322930625 is 115425.

It is a perfect power (a square), and thus also a powerful number.

13322930625 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 29 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1044517761 + 12278412864 = 32319^2 + 110808^2 .

It is not a de Polignac number, because 13322930625 - 221 = 13320833473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13322930625.

It is an unprimeable number.

It is a polite number, since it can be written in 164 ways as a sum of consecutive naturals, for example, 701206866 + ... + 701206884.

Almost surely, 213322930625 is an apocalyptic number.

13322930625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13322930625 is the 115425-th square number.

13322930625 is the 57713-rd centered octagonal number.

It is an amenable number.

13322930625 is a deficient number, since it is larger than the sum of its proper divisors (13032939828).

13322930625 is an frugal number, since it uses more digits than its factorization.

13322930625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Multiplying 13322930625 by its sum of digits (36), we get a square (479625502500 = 6925502).

The spelling of 13322930625 in words is "thirteen billion, three hundred twenty-two million, nine hundred thirty thousand, six hundred twenty-five".