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9990879144 = 2333161220141
BaseRepresentation
bin10010100111000000…
…01011011110101000
3221210021121020122220
421103200023132220
5130430131113034
64331215114040
7502404033351
oct112340133650
927707536586
109990879144
114267655414
121b29b12920
13c32b45b0c
146aac6ad28
153d71aa749
hex25380b7a8

9990879144 has 64 divisors (see below), whose sum is σ = 26205703680. Its totient is φ = 3170016000.

The previous prime is 9990879037. The next prime is 9990879149. The reversal of 9990879144 is 4419780999.

It is not an unprimeable number, because it can be changed into a prime (9990879149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64687 + ... + 155454.

It is an arithmetic number, because the mean of its divisors is an integer number (409464120).

Almost surely, 29990879144 is an apocalyptic number.

It is an amenable number.

9990879144 is an abundant number, since it is smaller than the sum of its proper divisors (16214824536).

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

9990879144 is a wasteful number, since it uses less digits than its factorization.

9990879144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220242 (or 220238 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 60.

The square root of 9990879144 is about 99954.3853165032. The cubic root of 9990879144 is about 2153.7794811703.

The spelling of 9990879144 in words is "nine billion, nine hundred ninety million, eight hundred seventy-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 93 122 124 183 186 244 248 366 372 488 732 744 1464 1891 3782 5673 7564 11346 15128 22692 45384 220141 440282 660423 880564 1320846 1761128 2641692 5283384 6824371 13428601 13648742 20473113 26857202 27297484 40285803 40946226 53714404 54594968 80571606 81892452 107428808 161143212 163784904 322286424 416286631 832573262 1248859893 1665146524 2497719786 3330293048 4995439572 9990879144