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9986125500 = 2234531321459
BaseRepresentation
bin10010100110011100…
…00010111010111100
3221202221122201220000
421103032002322330
5130422422004000
64330525154300
7502315444341
oct112316027274
927687581800
109986125500
1142649a898a
121b283bb990
13c31b70200
146aa3907c8
153d6a6c000
hex253382ebc

9986125500 has 360 divisors, whose sum is σ = 35303027760. Its totient is φ = 2456438400.

The previous prime is 9986125489. The next prime is 9986125529. The reversal of 9986125500 is 55216899.

9986125500 is a `hidden beast` number, since 9 + 9 + 86 + 12 + 550 + 0 = 666.

9986125500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 6843771 + ... + 6845229.

It is an arithmetic number, because the mean of its divisors is an integer number (98063966).

Almost surely, 29986125500 is an apocalyptic number.

9986125500 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 9986125500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17651513880).

9986125500 is an abundant number, since it is smaller than the sum of its proper divisors (25316902260).

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

9986125500 is a wasteful number, since it uses less digits than its factorization.

9986125500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 9986125500 is about 99930.6034205738. The cubic root of 9986125500 is about 2153.4378387256.

The spelling of 9986125500 in words is "nine billion, nine hundred eighty-six million, one hundred twenty-five thousand, five hundred".