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9960000700 = 2252132961271
BaseRepresentation
bin10010100011010100…
…11000110010111100
3221201010111110101211
421101222120302330
5130344230010300
64324153214204
7501550415626
oct112152306274
927633443354
109960000700
114251184a41
121b1b701364
13c29624050
146a6b0dc16
153d460b4ba
hex251a98cbc

9960000700 has 216 divisors, whose sum is σ = 24824348640. Its totient is φ = 3443328000.

The previous prime is 9960000683. The next prime is 9960000703. The reversal of 9960000700 is 70000699.

It is a super-2 number, since 2×99600007002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9960000703) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 140281665 + ... + 140281735.

It is an arithmetic number, because the mean of its divisors is an integer number (114927540).

Almost surely, 29960000700 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 9960000700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12412174320).

9960000700 is an abundant number, since it is smaller than the sum of its proper divisors (14864347940).

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

9960000700 is a wasteful number, since it uses less digits than its factorization.

9960000700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 9960000700 is about 99799.8031060182. The cubic root of 9960000700 is about 2151.5583222096.

The spelling of 9960000700 in words is "nine billion, nine hundred sixty million, seven hundred", and thus it is an aban number.