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9982459080 = 233251123127863
BaseRepresentation
bin10010100110000000…
…00011110011001000
3221202200202110111200
421103000003303020
5130421002142310
64330314424200
7502242334146
oct112300036310
927680673450
109982459080
114262924290
121b27132060
13c31188429
146a9ab8596
153d65959c0
hex253003cc8

9982459080 has 384 divisors, whose sum is σ = 37265080320. Its totient is φ = 2293885440.

The previous prime is 9982459063. The next prime is 9982459093. The reversal of 9982459080 is 809542899.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11566729 + ... + 11567591.

It is an arithmetic number, because the mean of its divisors is an integer number (97044480).

Almost surely, 29982459080 is an apocalyptic number.

9982459080 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 9982459080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18632540160).

9982459080 is an abundant number, since it is smaller than the sum of its proper divisors (27282621240).

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

9982459080 is a wasteful number, since it uses less digits than its factorization.

9982459080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1034 counting only the distinct ones).

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

The square root of 9982459080 is about 99912.2569057471. The cubic root of 9982459080 is about 2153.1742605565.

The spelling of 9982459080 in words is "nine billion, nine hundred eighty-two million, four hundred fifty-nine thousand, eighty".