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9872113860 = 2232571719127191
BaseRepresentation
bin10010011000110110…
…01000000011000100
3221111000010100022200
421030123020003010
5130204230120420
64311333354500
7466432404030
oct111433100304
927430110280
109872113860
114206607294
121ab6198a30
13c14361bbb
146991931c0
153cba4ab90
hex24c6c80c4

9872113860 has 576 divisors, whose sum is σ = 38645268480. Its totient is φ = 1985679360.

The previous prime is 9872113859. The next prime is 9872113871. The reversal of 9872113860 is 683112789.

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 191 ways as a sum of consecutive naturals, for example, 51686365 + ... + 51686555.

It is an arithmetic number, because the mean of its divisors is an integer number (67092480).

Almost surely, 29872113860 is an apocalyptic number.

9872113860 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 9872113860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19322634240).

9872113860 is an abundant number, since it is smaller than the sum of its proper divisors (28773154620).

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

9872113860 is a wasteful number, since it uses less digits than its factorization.

9872113860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 9872113860 is about 99358.5117642168. The cubic root of 9872113860 is about 2145.2111810597.

The spelling of 9872113860 in words is "nine billion, eight hundred seventy-two million, one hundred thirteen thousand, eight hundred sixty".