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17138737225 = 52261832
BaseRepresentation
bin11111111011000110…
…00110000001001001
31122020102120001121101
433331203012001021
5240100004042400
611512354341401
71144466601631
oct177543060111
948212501541
1017138737225
1172a5408a45
1233a388a861
13180197aa3c
14b882b56c1
156a497e56a
hex3fd8c6049

17138737225 has 9 divisors (see below), whose sum is σ = 21252845863. Its totient is φ = 13710466120.

The previous prime is 17138737211. The next prime is 17138737229. The reversal of 17138737225 is 52273783171.

The square root of 17138737225 is 130915.

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

17138737225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6169945401 + 10968791824 = 78549^2 + 104732^2 .

It is not a de Polignac number, because 17138737225 - 225 = 17105182793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17138737229) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 641484 + ... + 667666.

Almost surely, 217138737225 is an apocalyptic number.

17138737225 is the 130915-th square number.

17138737225 is the 65458-th centered octagonal number.

It is an amenable number.

17138737225 is a deficient number, since it is larger than the sum of its proper divisors (4114108638).

17138737225 is an frugal number, since it uses more digits than its factorization.

17138737225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52376 (or 26188 counting only the distinct ones).

The product of its digits is 493920, while the sum is 46.

The spelling of 17138737225 in words is "seventeen billion, one hundred thirty-eight million, seven hundred thirty-seven thousand, two hundred twenty-five".

Divisors: 1 5 25 26183 130915 654575 685549489 3427747445 17138737225