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13830936025 = 524325472
BaseRepresentation
bin11001110000110001…
…10101010111011001
31022200220100100101211
430320120311113121
5211311204423100
610204232543121
7666513005434
oct147030652731
938626310354
1013830936025
115958225a45
12281bb51aa1
1313c559691a
14952c6881b
1555e38a1ba
hex3386355d9

13830936025 has 27 divisors (see below), whose sum is σ = 17590640031. Its totient is φ = 10787671440.

The previous prime is 13830936001. The next prime is 13830936047. The reversal of 13830936025 is 52063903831.

The square root of 13830936025 is 117605.

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

It can be written as a sum of positive squares in only one way, i.e., 4979136969 + 8851799056 = 70563^2 + 94084^2 .

It is not a de Polignac number, because 13830936025 - 29 = 13830935513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25284802 + ... + 25285348.

Almost surely, 213830936025 is an apocalyptic number.

13830936025 is the 117605-th square number.

13830936025 is the 58803-rd centered octagonal number.

It is an amenable number.

13830936025 is a deficient number, since it is larger than the sum of its proper divisors (3759704006).

13830936025 is an frugal number, since it uses more digits than its factorization.

13830936025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 13830936025 in words is "thirteen billion, eight hundred thirty million, nine hundred thirty-six thousand, twenty-five".

Divisors: 1 5 25 43 215 547 1075 1849 2735 9245 13675 23521 46225 117605 299209 588025 1011403 1496045 5057015 7480225 12865987 25285075 64329935 321649675 553237441 2766187205 13830936025