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115215752961 = 3217753044137
BaseRepresentation
bin110101101001101100…
…1001101111100000001
3102000101120202200100200
41223103121031330001
53341430213043321
6124532425235413
711216103512211
oct1532331157401
9360346680320
10115215752961
114495431a551
121a3b5632b69
13ab31c6a06a
14580dba8241
152ee4e6ad26
hex1ad364df01

115215752961 has 12 divisors (see below), whose sum is σ = 176212328292. Its totient is φ = 72292237056.

The previous prime is 115215752923. The next prime is 115215753017. The reversal of 115215752961 is 169257512511.

115215752961 is a `hidden beast` number, since 1 + 1 + 52 + 1 + 575 + 29 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40232336400 + 74983416561 = 200580^2 + 273831^2 .

It is not a de Polignac number, because 115215752961 - 219 = 115215228673 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (115215752161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376521916 + ... + 376522221.

It is an arithmetic number, because the mean of its divisors is an integer number (14684360691).

Almost surely, 2115215752961 is an apocalyptic number.

It is an amenable number.

115215752961 is a deficient number, since it is larger than the sum of its proper divisors (60996575331).

115215752961 is a wasteful number, since it uses less digits than its factorization.

115215752961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753044160 (or 753044157 counting only the distinct ones).

The product of its digits is 189000, while the sum is 45.

The spelling of 115215752961 in words is "one hundred fifteen billion, two hundred fifteen million, seven hundred fifty-two thousand, nine hundred sixty-one".

Divisors: 1 3 9 17 51 153 753044137 2259132411 6777397233 12801750329 38405250987 115215752961