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18393129625 = 531329533833
BaseRepresentation
bin10001001000010100…
…001110001010011001
31202110211220210111011
4101020110032022121
5300132120122000
612241044333521
71220541010423
oct211024161231
952424823434
1018393129625
117889495582
1236939a42a1
131971807970
14c66b23813
15729b612ba
hex44850e299

18393129625 has 32 divisors (see below), whose sum is σ = 24735189024. Its totient is φ = 13574476800.

The previous prime is 18393129589. The next prime is 18393129649. The reversal of 18393129625 is 52692139381.

It can be written as a sum of positive squares in 16 ways, for example, as 15646007056 + 2747122569 = 125084^2 + 52413^2 .

It is not a de Polignac number, because 18393129625 - 215 = 18393096857 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 4796709 + ... + 4800541.

It is an arithmetic number, because the mean of its divisors is an integer number (772974657).

Almost surely, 218393129625 is an apocalyptic number.

It is an amenable number.

18393129625 is a deficient number, since it is larger than the sum of its proper divisors (6342059399).

18393129625 is a wasteful number, since it uses less digits than its factorization.

18393129625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6814 (or 6804 counting only the distinct ones).

The product of its digits is 699840, while the sum is 49.

The spelling of 18393129625 in words is "eighteen billion, three hundred ninety-three million, one hundred twenty-nine thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 1625 2953 3833 14765 19165 38389 49829 73825 95825 191945 249145 369125 479125 959725 1245725 4798625 6228625 11318849 56594245 147145037 282971225 735725185 1414856125 3678625925 18393129625