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9989254080 = 2632513377211
BaseRepresentation
bin10010100110110011…
…11110101111000000
3221210011112200111100
421103121332233000
5130424222112310
64331120214400
7502354154511
oct112331765700
927704480440
109989254080
114266745493
121b2946a400
13c326c7240
146aa966a08
153d6e88ec0
hex25367ebc0

9989254080 has 336 divisors, whose sum is σ = 38007182304. Its totient is φ = 2392104960.

The previous prime is 9989254027. The next prime is 9989254091. The reversal of 9989254080 is 804529899.

9989254080 is a `hidden beast` number, since 9 + 9 + 8 + 92 + 540 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381675 + ... + 1388885.

It is an arithmetic number, because the mean of its divisors is an integer number (113116614).

Almost surely, 29989254080 is an apocalyptic number.

9989254080 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 9989254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19003591152).

9989254080 is an abundant number, since it is smaller than the sum of its proper divisors (28017928224).

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

9989254080 is a wasteful number, since it uses less digits than its factorization.

9989254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7284 (or 7271 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 9989254080 is about 99946.2559578897. The cubic root of 9989254080 is about 2153.6627006805.

The spelling of 9989254080 in words is "nine billion, nine hundred eighty-nine million, two hundred fifty-four thousand, eighty".