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9875325600 = 25365274159
BaseRepresentation
bin10010011001001110…
…11000001010100000
3221111020011112000000
421030213120022200
5130211040404400
64311530300000
7466501611510
oct111447301240
927436145000
109875325600
114208400318
121ab7287600
13c14c17a3a
1469978b840
153cbe82600
hex24c9d82a0

9875325600 has 1008 divisors, whose sum is σ = 43034120640. Its totient is φ = 2164838400.

The previous prime is 9875325587. The next prime is 9875325613. The reversal of 9875325600 is 65235789.

It is a happy number.

9875325600 is a `hidden beast` number, since 9 + 8 + 7 + 5 + 32 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (9875325587) and next prime (9875325613).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 167 ways as a sum of consecutive naturals, for example, 167378371 + ... + 167378429.

It is an arithmetic number, because the mean of its divisors is an integer number (42692580).

Almost surely, 29875325600 is an apocalyptic number.

9875325600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9875325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21517060320).

9875325600 is an abundant number, since it is smaller than the sum of its proper divisors (33158795040).

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

9875325600 is a wasteful number, since it uses less digits than its factorization.

9875325600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 9875325600 is about 99374.6728296501. The cubic root of 9875325600 is about 2145.4437929610.

The spelling of 9875325600 in words is "nine billion, eight hundred seventy-five million, three hundred twenty-five thousand, six hundred".