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9979449480 = 233457111317181
BaseRepresentation
bin10010100101101001…
…00101000010001000
3221202111002120010000
421102310211002020
5130414214340410
64330130123000
7502204630620
oct112264450210
927674076100
109979449480
114261159110
121b26120460
13c306735c0
146a9533880
153d619ddc0
hex252d25088

9979449480 has 1280 divisors, whose sum is σ = 47948060160. Its totient is φ = 1791590400.

The previous prime is 9979449443. The next prime is 9979449509. The reversal of 9979449480 is 849449799.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2715 × 1989 × 1848.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 55134990 + ... + 55135170.

It is an arithmetic number, because the mean of its divisors is an integer number (37459422).

Almost surely, 29979449480 is an apocalyptic number.

9979449480 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 9979449480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23974030080).

9979449480 is an abundant number, since it is smaller than the sum of its proper divisors (37968610680).

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

9979449480 is a wasteful number, since it uses less digits than its factorization.

9979449480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The square root of 9979449480 is about 99897.1945552026. The cubic root of 9979449480 is about 2152.9578528041.

The spelling of 9979449480 in words is "nine billion, nine hundred seventy-nine million, four hundred forty-nine thousand, four hundred eighty".