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9083295144 = 23327114189449
BaseRepresentation
bin10000111010110100…
…00001010110101000
3212110000211012110200
420131122001112220
5122100310421034
64101154312200
7441043510020
oct103532012650
925400735420
109083295144
1139413130a0
121915b88660
13b19ac5471
146224d8a80
15382681a99
hex21d6815a8

9083295144 has 384 divisors, whose sum is σ = 31842720000. Its totient is φ = 2270822400.

The previous prime is 9083295139. The next prime is 9083295187. The reversal of 9083295144 is 4415923809.

It is a self number, because there is not a number n which added to its sum of digits gives 9083295144.

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, 20229832 + ... + 20230280.

It is an arithmetic number, because the mean of its divisors is an integer number (82923750).

Almost surely, 29083295144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9083295144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921360000).

9083295144 is an abundant number, since it is smaller than the sum of its proper divisors (22759424856).

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

9083295144 is a wasteful number, since it uses less digits than its factorization.

9083295144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9083295144 is about 95306.3226863779. The cubic root of 9083295144 is about 2086.4811972100.

The spelling of 9083295144 in words is "nine billion, eighty-three million, two hundred ninety-five thousand, one hundred forty-four".