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132596860135041 = 32617262212
BaseRepresentation
bin11110001001100010011100…
…101111110010011010000001
3122101111010200011111112020100
4132021202130233302122001
5114334431332143310131
61150002053455033013
736633543542513361
oct3611423457623201
9571433604445210
10132596860135041
1139282015831595
1212a561b020b769
1358caaa41017a3
1424a5a17cbc9a1
15104e2369237e6
hex78989cbf2681

132596860135041 has 27 divisors (see below), whose sum is σ = 191870562927433. Its totient is φ = 88240449675840.

The previous prime is 132596860135009. The next prime is 132596860135043. The reversal of 132596860135041 is 140531068695231.

The square root of 132596860135041 is 11515071.

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

132596860135041 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 9 + 68 + 60 + 13 + 504 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115385944986225 + 17210915148816 = 10741785^2 + 4148604^2 .

It is not a de Polignac number, because 132596860135041 - 25 = 132596860135009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132596860135043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21314393311 + ... + 21314399531.

Almost surely, 2132596860135041 is an apocalyptic number.

132596860135041 is the 11515071-st square number.

132596860135041 is the 5757536-th centered octagonal number.

It is an amenable number.

132596860135041 is a deficient number, since it is larger than the sum of its proper divisors (59273702792392).

132596860135041 is an frugal number, since it uses more digits than its factorization.

132596860135041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13682 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 132596860135041 in words is "one hundred thirty-two trillion, five hundred ninety-six billion, eight hundred sixty million, one hundred thirty-five thousand, forty-one".

Divisors: 1 3 9 617 1851 5553 6221 18663 55989 380689 1142067 3426201 3838357 11515071 34545213 38700841 116102523 348307569 2368266269 7104798807 21314396421 23878418897 71635256691 214905770073 14732984459449 44198953378347 132596860135041