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9680560560 = 24335111812251
BaseRepresentation
bin10010000010000000…
…11010000110110000
3220222122200102121000
421001000122012300
5124311210414220
64240332002000
7461615256426
oct110100320660
926878612530
109680560560
114118473480
121a62000300
13bb3774458
1467b96d116
153b9d0e390
hex24101a1b0

9680560560 has 320 divisors, whose sum is σ = 36592657920. Its totient is φ = 2332800000.

The previous prime is 9680560517. The next prime is 9680560573. The reversal of 9680560560 is 650650869.

9680560560 is a `hidden beast` number, since 9 + 6 + 80 + 5 + 6 + 0 + 560 = 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 63 ways as a sum of consecutive naturals, for example, 4299435 + ... + 4301685.

It is an arithmetic number, because the mean of its divisors is an integer number (114352056).

Almost surely, 29680560560 is an apocalyptic number.

9680560560 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 9680560560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18296328960).

9680560560 is an abundant number, since it is smaller than the sum of its proper divisors (26912097360).

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

9680560560 is a wasteful number, since it uses less digits than its factorization.

9680560560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 9680560560 is about 98389.8397193531. The cubic root of 9680560560 is about 2131.2456114437.

The spelling of 9680560560 in words is "nine billion, six hundred eighty million, five hundred sixty thousand, five hundred sixty".