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9897000960 = 21435711523
BaseRepresentation
bin10010011011110100…
…00100000000000000
3221112201221202000010
421031322010000000
5130232113012320
64314023024520
7500154056130
oct111572040000
927481852003
109897000960
114219665340
121b0259b140
13c195668b2
1469c5d0ac0
153cdd14ae0
hex24de84000

9897000960 has 480 divisors, whose sum is σ = 39559468032. Its totient is φ = 2052587520.

The previous prime is 9897000929. The next prime is 9897000977. The reversal of 9897000960 is 690007989.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18923259 + ... + 18923781.

Almost surely, 29897000960 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 9897000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19779734016).

9897000960 is an abundant number, since it is smaller than the sum of its proper divisors (29662467072).

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

9897000960 is a wasteful number, since it uses less digits than its factorization.

9897000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 9897000960 is about 99483.6718260841. The cubic root of 9897000960 is about 2147.0123246911.

The spelling of 9897000960 in words is "nine billion, eight hundred ninety-seven million, nine hundred sixty", and thus it is an aban number.