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9275080320 = 27325111779109
BaseRepresentation
bin10001010001101011…
…00111111010000000
3212221101200220021100
420220311213322000
5122443410032240
64132205054400
7445562611332
oct105065477200
925841626240
109275080320
113a2a5a5140
12196a257400
13b4a76460c
1463db7d452
15394416e30
hex228d67e80

9275080320 has 768 divisors, whose sum is σ = 37806912000. Its totient is φ = 2070282240.

The previous prime is 9275080319. The next prime is 9275080363. The reversal of 9275080320 is 230805729.

It is a happy number.

It is a super-2 number, since 2×92750803202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 85092426 + ... + 85092534.

It is an arithmetic number, because the mean of its divisors is an integer number (49227750).

Almost surely, 29275080320 is an apocalyptic number.

9275080320 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 9275080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18903456000).

9275080320 is an abundant number, since it is smaller than the sum of its proper divisors (28531831680).

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

9275080320 is a wasteful number, since it uses less digits than its factorization.

9275080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9275080320 is about 96307.2184210509. The cubic root of 9275080320 is about 2101.0637331949.

The spelling of 9275080320 in words is "nine billion, two hundred seventy-five million, eighty thousand, three hundred twenty".