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9975395807 = 1343791131999
BaseRepresentation
bin10010100101001010…
…00111010111011111
3221202012110121111222
421102211013113133
5130412200131212
64325503203555
7502125315416
oct112245072737
927665417458
109975395807
11425993a573
121b248a65bb
13c2c884490
146a8b9a47d
153d5b4cc72
hex2529475df

9975395807 has 32 divisors (see below), whose sum is σ = 11235840000. Its totient is φ = 8797082112.

The previous prime is 9975395777. The next prime is 9975395851. The reversal of 9975395807 is 7085935799.

It is a happy number.

It is not a de Polignac number, because 9975395807 - 230 = 8901653983 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9975395807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9975395887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4989194 + ... + 4991192.

It is an arithmetic number, because the mean of its divisors is an integer number (351120000).

Almost surely, 29975395807 is an apocalyptic number.

9975395807 is a deficient number, since it is larger than the sum of its proper divisors (1260444193).

9975395807 is a wasteful number, since it uses less digits than its factorization.

9975395807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247.

The product of its (nonzero) digits is 21432600, while the sum is 62.

The square root of 9975395807 is about 99876.9032709765. The cubic root of 9975395807 is about 2152.6663013481. Note that the first 3 decimals are identical.

The spelling of 9975395807 in words is "nine billion, nine hundred seventy-five million, three hundred ninety-five thousand, eight hundred seven".

Divisors: 1 13 43 79 113 559 1027 1469 1999 3397 4859 8927 25987 44161 63167 85957 116051 157921 225887 383861 1117441 2052973 2936531 4990193 6790603 9713141 17845073 88277839 126270833 231985949 767338139 9975395807