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9975395808 = 2533719471847
BaseRepresentation
bin10010100101001010…
…00111010111100000
3221202012110121112000
421102211013113200
5130412200131213
64325503204000
7502125315420
oct112245072740
927665417460
109975395808
11425993a574
121b248a6600
13c2c884491
146a8b9a480
153d5b4cc73
hex2529475e0

9975395808 has 384 divisors, whose sum is σ = 35765452800. Its totient is φ = 2641227264.

The previous prime is 9975395777. The next prime is 9975395851. The reversal of 9975395808 is 8085935799.

9975395808 is a `hidden beast` number, since 9 + 97 + 539 + 5 + 8 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5399941 + ... + 5401787.

It is an arithmetic number, because the mean of its divisors is an integer number (93139200).

Almost surely, 29975395808 is an apocalyptic number.

9975395808 is the 63168-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9975395808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17882726400).

9975395808 is an abundant number, since it is smaller than the sum of its proper divisors (25790056992).

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

9975395808 is a wasteful number, since it uses less digits than its factorization.

9975395808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The square root of 9975395808 is about 99876.9032759827. The cubic root of 9975395808 is about 2152.6663014200. Note that the first 3 decimals are identical.

The spelling of 9975395808 in words is "nine billion, nine hundred seventy-five million, three hundred ninety-five thousand, eight hundred eight".