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115218834721 = 1724124872
BaseRepresentation
bin110101101001110010…
…0111110010100100001
3102000101210120020201221
41223103210332110201
53341432010202341
6124533015255041
711216141636014
oct1532344762441
9360353506657
10115218834721
1144956034961
121a3b667a481
13ab327a89a3
14581036b37b
152ee5378ed1
hex1ad393e521

115218834721 has 27 divisors (see below), whose sum is σ = 125711284377. Its totient is φ = 105579106560.

The previous prime is 115218834671. The next prime is 115218834737. The reversal of 115218834721 is 127438812511.

It is a happy number.

The square root of 115218834721 is 339439.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8117109025 + 107101725696 = 90095^2 + 327264^2 .

It is not a de Polignac number, because 115218834721 - 27 = 115218834593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115218834421) 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 26 ways as a sum of consecutive naturals, for example, 236588740 + ... + 236589226.

Almost surely, 2115218834721 is an apocalyptic number.

115218834721 is the 339439-th square number.

115218834721 is the 169720-th centered octagonal number.

It is an amenable number.

115218834721 is a deficient number, since it is larger than the sum of its proper divisors (10492449656).

115218834721 is an frugal number, since it uses more digits than its factorization.

115218834721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 545 counting only the distinct ones).

The product of its digits is 107520, while the sum is 43.

The spelling of 115218834721 in words is "one hundred fifteen billion, two hundred eighteen million, eight hundred thirty-four thousand, seven hundred twenty-one".

Divisors: 1 17 41 289 487 697 1681 8279 11849 19967 28577 140743 237169 339439 485809 818647 4031873 5770463 9723929 13916999 68541841 165306793 236588983 398681089 2810215481 6777578513 115218834721