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9875139120 = 24325711216193
BaseRepresentation
bin10010011001001101…
…01010101000110000
3221111012211001012100
421030212222220300
5130211013422440
64311522300400
7466500204030
oct111446525060
927435731170
109875139120
114208293200
121ab71b7700
13c14b80bb2
1469973d8c0
153cbe47230
hex24c9aaa30

9875139120 has 360 divisors, whose sum is σ = 41663145888. Its totient is φ = 2051850240.

The previous prime is 9875139107. The next prime is 9875139137. The reversal of 9875139120 is 219315789.

9875139120 is a `hidden beast` number, since 9 + 8 + 7 + 513 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 601744 + ... + 617936.

Almost surely, 29875139120 is an apocalyptic number.

9875139120 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 9875139120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20831572944).

9875139120 is an abundant number, since it is smaller than the sum of its proper divisors (31788006768).

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

9875139120 is a wasteful number, since it uses less digits than its factorization.

9875139120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16241 (or 16221 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 9875139120 is about 99373.7345579807. The cubic root of 9875139120 is about 2145.4302884315.

The spelling of 9875139120 in words is "nine billion, eight hundred seventy-five million, one hundred thirty-nine thousand, one hundred twenty".