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9936501124 = 221122321972
BaseRepresentation
bin10010100000100001…
…01111100110000100
3221122111021120001011
421100100233212010
5130322221013444
64321553412004
7501143603014
oct112020574604
927574246034
109936501124
114239994400
121b1386a004
13c247b6a84
146a3953c44
153d2518734
hex25042f984

9936501124 has 81 divisors (see below), whose sum is σ = 20082480901. Its totient is φ = 4298287840.

The previous prime is 9936501067. The next prime is 9936501151. The reversal of 9936501124 is 4211056399.

The square root of 9936501124 is 99682.

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., 9735768900 + 200732224 = 98670^2 + 14168^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50438994 + ... + 50439190.

Almost surely, 29936501124 is an apocalyptic number.

9936501124 is the 99682-nd square number.

It is an amenable number.

9936501124 is an abundant number, since it is smaller than the sum of its proper divisors (10145979777).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9936501124 is a wasteful number, since it uses less digits than its factorization.

9936501124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The cubic root of 9936501124 is about 2149.8648643386.

The spelling of 9936501124 in words is "nine billion, nine hundred thirty-six million, five hundred one thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 23 44 46 92 121 197 242 253 394 484 506 529 788 1012 1058 2116 2167 2783 4334 4531 5566 5819 8668 9062 11132 11638 18124 23276 23837 38809 47674 49841 64009 77618 95348 99682 104213 128018 155236 199364 208426 256036 416852 426899 548251 853798 892607 1096502 1146343 1707596 1785214 2193004 2292686 3570428 4585372 4695889 9391778 9818677 12609773 18783556 19637354 20529961 25219546 39274708 41059922 50439092 82119844 108005447 216010894 225829571 432021788 451659142 903318284 2484125281 4968250562 9936501124