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9922953984 = 28319680027
BaseRepresentation
bin10010011110111010…
…00100001100000000
3221121112210021212020
421033131010030000
5130310234011414
64320351201440
7500620500666
oct111735041400
927545707766
109922953984
114232281219
121b0b216280
13c21a52808
146a1c28c36
153d123e7a9
hex24f744300

9922953984 has 72 divisors (see below), whose sum is σ = 27799544640. Its totient is φ = 3133559808.

The previous prime is 9922953973. The next prime is 9922954061. The reversal of 9922953984 is 4893592299.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 325422 + ... + 354605.

Almost surely, 29922953984 is an apocalyptic number.

It is an amenable number.

9922953984 is an abundant number, since it is smaller than the sum of its proper divisors (17876590656).

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

9922953984 is a wasteful number, since it uses less digits than its factorization.

9922953984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680065 (or 680051 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 60.

The square root of 9922953984 is about 99614.0250366383. The cubic root of 9922953984 is about 2148.8873986688.

The spelling of 9922953984 in words is "nine billion, nine hundred twenty-two million, nine hundred fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7296 14592 680027 1360054 2040081 2720108 4080162 5440216 8160324 10880432 12920513 16320648 21760864 25841026 32641296 38761539 43521728 51682052 65282592 77523078 87043456 103364104 130565184 155046156 174086912 206728208 261130368 310092312 413456416 522260736 620184624 826912832 1240369248 1653825664 2480738496 3307651328 4961476992 9922953984