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9680348160 = 210325730011
BaseRepresentation
bin10010000001111111…
…00110010000000000
3220222122021122020100
421000333212100000
5124311132120120
64240323242400
7461613413250
oct110077462000
926878248210
109680348160
11411833893a
121a61b19400
13bb36cb882
1467b915960
153b9cbb490
hex240fe6400

9680348160 has 264 divisors, whose sum is σ = 38335167936. Its totient is φ = 2212577280.

The previous prime is 9680348129. The next prime is 9680348201. The reversal of 9680348160 is 618430869.

9680348160 is a `hidden beast` number, since 96 + 80 + 3 + 481 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307555 + ... + 337565.

Almost surely, 29680348160 is an apocalyptic number.

9680348160 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 9680348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19167583968).

9680348160 is an abundant number, since it is smaller than the sum of its proper divisors (28654819776).

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

9680348160 is a wasteful number, since it uses less digits than its factorization.

9680348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30049 (or 30028 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9680348160 is about 98388.7603336885. The cubic root of 9680348160 is about 2131.2300241962.

The spelling of 9680348160 in words is "nine billion, six hundred eighty million, three hundred forty-eight thousand, one hundred sixty".