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18337328225 = 525313839493
BaseRepresentation
bin10001000100111111…
…010110110001100001
31202022221220210100122
4101010333112301201
5300023324000400
612231332330025
71216262501216
oct210477266141
952287823318
1018337328225
11785aa42117
123679173915
13196309aa98
14c5d559b0d
15724cdc685
hex444fd6c61

18337328225 has 12 divisors (see below), whose sum is σ = 23167312956. Its totient is φ = 14393071680.

The previous prime is 18337328213. The next prime is 18337328249. The reversal of 18337328225 is 52282373381.

It can be written as a sum of positive squares in 6 ways, for example, as 1270779904 + 17066548321 = 35648^2 + 130639^2 .

It is not a de Polignac number, because 18337328225 - 26 = 18337328161 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6918422 + ... + 6921071.

It is an arithmetic number, because the mean of its divisors is an integer number (1930609413).

Almost surely, 218337328225 is an apocalyptic number.

It is an amenable number.

18337328225 is a deficient number, since it is larger than the sum of its proper divisors (4829984731).

18337328225 is a wasteful number, since it uses less digits than its factorization.

18337328225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13839556 (or 13839551 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The spelling of 18337328225 in words is "eighteen billion, three hundred thirty-seven million, three hundred twenty-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 53 265 1325 13839493 69197465 345987325 733493129 3667465645 18337328225