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9976028160 = 210357314173
BaseRepresentation
bin10010100101001111…
…00001110000000000
3221202020122201221110
421102213201300000
5130412330400120
64325524523320
7502133561130
oct112247416000
927666581843
109976028160
11425a23167a
121b24b50540
13c2ca46257
146a8cc2ac0
153d5c252e0
hex2529e1c00

9976028160 has 704 divisors, whose sum is σ = 39088594944. Its totient is φ = 2123366400.

The previous prime is 9976028149. The next prime is 9976028173. The reversal of 9976028160 is 618206799.

It is a super-2 number, since 2×99760281602 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136657884 + ... + 136657956.

Almost surely, 29976028160 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 9976028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19544297472).

9976028160 is an abundant number, since it is smaller than the sum of its proper divisors (29112566784).

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

9976028160 is a wasteful number, since it uses less digits than its factorization.

9976028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 9976028160 is about 99880.0688826354. The cubic root of 9976028160 is about 2152.7117871365.

The spelling of 9976028160 in words is "nine billion, nine hundred seventy-six million, twenty-eight thousand, one hundred sixty".