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9993008432 = 2411142939733
BaseRepresentation
bin10010100111010000…
…10011010100110000
3221210102121102111102
421103220103110300
5130431202232212
64331332503532
7502431112241
oct112350232460
927712542442
109993008432
11426887a160
121b2a77aba8
13c33410054
146ab262cc8
153d747b5c2
hex253a13530

9993008432 has 40 divisors (see below), whose sum is σ = 21136898640. Its totient is φ = 4538983680.

The previous prime is 9993008411. The next prime is 9993008453. The reversal of 9993008432 is 2348003999.

It is an interprime number because it is at equal distance from previous prime (9993008411) and next prime (9993008453).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231638 + ... + 271370.

It is an arithmetic number, because the mean of its divisors is an integer number (528422466).

Almost surely, 29993008432 is an apocalyptic number.

It is an amenable number.

9993008432 is an abundant number, since it is smaller than the sum of its proper divisors (11143890208).

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

9993008432 is a wasteful number, since it uses less digits than its factorization.

9993008432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41181 (or 41175 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 47.

The square root of 9993008432 is about 99965.0360476102. The cubic root of 9993008432 is about 2153.9324770839.

The spelling of 9993008432 in words is "nine billion, nine hundred ninety-three million, eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 1429 2858 5716 11432 15719 22864 31438 39733 62876 79466 125752 158932 251504 317864 437063 635728 874126 1748252 3496504 6993008 56778457 113556914 227113828 454227656 624563027 908455312 1249126054 2498252108 4996504216 9993008432