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9986900640 = 2535107337577
BaseRepresentation
bin10010100110100010…
…00000001010100000
3221210000010010011220
421103101000022200
5130423121310030
64330553535040
7502325153253
oct112321001240
927700103156
109986900640
1142653882a2
121b28714480
13c32081c82
146aa51309a
153d6b71a10
hex2534402a0

9986900640 has 192 divisors, whose sum is σ = 31902159744. Its totient is φ = 2625896448.

The previous prime is 9986900617. The next prime is 9986900641. The reversal of 9986900640 is 460096899.

It is not an unprimeable number, because it can be changed into a prime (9986900641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17308032 + ... + 17308608.

It is an arithmetic number, because the mean of its divisors is an integer number (166157082).

Almost surely, 29986900640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9986900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15951079872).

9986900640 is an abundant number, since it is smaller than the sum of its proper divisors (21915259104).

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

9986900640 is a wasteful number, since it uses less digits than its factorization.

9986900640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 9986900640 is about 99934.4817367859. The cubic root of 9986900640 is about 2153.4935551166.

The spelling of 9986900640 in words is "nine billion, nine hundred eighty-six million, nine hundred thousand, six hundred forty".