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9880450560 = 29325439973
BaseRepresentation
bin10010011001110101…
…11011011000000000
3221111120210220010100
421030322323120000
5130213343404220
64312232202400
7466563305211
oct111472733000
927446726110
109880450560
114210290822
121ab8b39400
13c15cc0666
1469a323408
153cc645d90
hex24cebb600

9880450560 has 240 divisors, whose sum is σ = 35018075664. Its totient is φ = 2573254656.

The previous prime is 9880450529. The next prime is 9880450571. The reversal of 9880450560 is 650540889.

9880450560 is a `hidden beast` number, since 9 + 8 + 80 + 4 + 5 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 985734 + ... + 995706.

Almost surely, 29880450560 is an apocalyptic number.

9880450560 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 9880450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17509037832).

9880450560 is an abundant number, since it is smaller than the sum of its proper divisors (25137625104).

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

9880450560 is a wasteful number, since it uses less digits than its factorization.

9880450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10045 (or 10026 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 9880450560 is about 99400.4555321554. The cubic root of 9880450560 is about 2145.8148663666.

The spelling of 9880450560 in words is "nine billion, eight hundred eighty million, four hundred fifty thousand, five hundred sixty".