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9489813120 = 27335737523
BaseRepresentation
bin10001101011010001…
…10000111010000000
3220111100202110022000
420311220300322000
5123413343004440
64205355344000
7454111036434
oct106550607200
926440673260
109489813120
11402a830067
121a0a152000
13b830a9748
146604b89c4
153a81d1730
hex235a30e80

9489813120 has 256 divisors, whose sum is σ = 34074691200. Its totient is φ = 2495619072.

The previous prime is 9489813107. The next prime is 9489813149. The reversal of 9489813120 is 213189849.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257679 + ... + 1265201.

Almost surely, 29489813120 is an apocalyptic number.

9489813120 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 9489813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17037345600).

9489813120 is an abundant number, since it is smaller than the sum of its proper divisors (24584878080).

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

9489813120 is a wasteful number, since it uses less digits than its factorization.

9489813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7624 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 9489813120 is about 97415.6718398020. The cubic root of 9489813120 is about 2117.1545068822.

The spelling of 9489813120 in words is "nine billion, four hundred eighty-nine million, eight hundred thirteen thousand, one hundred twenty".