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99952138224 = 24322923934899
BaseRepresentation
bin101110100010110011…
…1001001011111110000
3100112222211120201020100
41131011213021133300
53114200221410344
6113530053112400
710135623104541
oct1350547113760
9315884521210
1099952138224
1139431415914
1217455928700
13956b922673
144ba29624c8
1528eee33569
hex17459c97f0

99952138224 has 60 divisors (see below), whose sum is σ = 289372941000. Its totient is φ = 32168502912.

The previous prime is 99952138201. The next prime is 99952138249. The reversal of 99952138224 is 42283125999.

99952138224 is a `hidden beast` number, since 9 + 99 + 521 + 3 + 8 + 2 + 24 = 666.

99952138224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11963274 + ... + 11971625.

It is an arithmetic number, because the mean of its divisors is an integer number (4822882350).

Almost surely, 299952138224 is an apocalyptic number.

It is an amenable number.

99952138224 is an abundant number, since it is smaller than the sum of its proper divisors (189420802776).

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

99952138224 is a wasteful number, since it uses less digits than its factorization.

99952138224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23934942 (or 23934933 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 99952138224 in words is "ninety-nine billion, nine hundred fifty-two million, one hundred thirty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 23934899 47869798 71804697 95739596 143609394 191479192 215414091 287218788 382958384 430828182 574437576 694112071 861656364 1148875152 1388224142 1723312728 2082336213 2776448284 3446625456 4164672426 5552896568 6247008639 8329344852 11105793136 12494017278 16658689704 24988034556 33317379408 49976069112 99952138224