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9904164125 = 53229345997
BaseRepresentation
bin10010011100101010…
…11000110100011101
3221120020102200000112
421032111120310131
5130240431223000
64314440335405
7500302002032
oct111625306435
927506380015
109904164125
114222708109
121b04a74565
13c1aba415b
1469d537389
153ce77c235
hex24e558d1d

9904164125 has 16 divisors (see below), whose sum is σ = 12414408240. Its totient is φ = 7888708800.

The previous prime is 9904164121. The next prime is 9904164163. The reversal of 9904164125 is 5214614099.

9904164125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 15452761 + 9888711364 = 3931^2 + 99442^2 .

It is not a de Polignac number, because 9904164125 - 22 = 9904164121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9904164121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144374 + ... + 201623.

It is an arithmetic number, because the mean of its divisors is an integer number (775900515).

Almost surely, 29904164125 is an apocalyptic number.

It is an amenable number.

9904164125 is a deficient number, since it is larger than the sum of its proper divisors (2510244115).

9904164125 is a wasteful number, since it uses less digits than its factorization.

9904164125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346241 (or 346231 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 9904164125 is about 99519.6670261713. The cubic root of 9904164125 is about 2147.5301817235.

The spelling of 9904164125 in words is "nine billion, nine hundred four million, one hundred sixty-four thousand, one hundred twenty-five".

Divisors: 1 5 25 125 229 1145 5725 28625 345997 1729985 8649925 43249625 79233313 396166565 1980832825 9904164125