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9947384736 = 253142372817
BaseRepresentation
bin10010100001110100…
…10000101110100000
3221200020202111112220
421100322100232200
5130333012302421
64323022551040
7501335242452
oct112072205640
927606674486
109947384736
114245048423
121b17438480
13c26b27893
146a51882d2
153d34683c6
hex250e90ba0

9947384736 has 48 divisors (see below), whose sum is σ = 26130593664. Its totient is φ = 3313419264.

The previous prime is 9947384717. The next prime is 9947384737. The reversal of 9947384736 is 6374837499.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9947384736.

It is not an unprimeable number, because it can be changed into a prime (9947384737) by changing a digit.

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, 100200 + ... + 173016.

It is an arithmetic number, because the mean of its divisors is an integer number (544387368).

Almost surely, 29947384736 is an apocalyptic number.

9947384736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9947384736 is an abundant number, since it is smaller than the sum of its proper divisors (16183208928).

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

9947384736 is a wasteful number, since it uses less digits than its factorization.

9947384736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74253 (or 74245 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 60.

The square root of 9947384736 is about 99736.5767208801. The cubic root of 9947384736 is about 2150.6495053000.

The spelling of 9947384736 in words is "nine billion, nine hundred forty-seven million, three hundred eighty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1423 2846 4269 5692 8538 11384 17076 22768 34152 45536 68304 72817 136608 145634 218451 291268 436902 582536 873804 1165072 1747608 2330144 3495216 6990432 103618591 207237182 310855773 414474364 621711546 828948728 1243423092 1657897456 2486846184 3315794912 4973692368 9947384736