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9275220576 = 25351967937
BaseRepresentation
bin10001010001101100…
…01010001001100000
3212221101222000200000
420220312022021200
5122443424024301
64132212100000
7445564034256
oct105066121140
925841860600
109275220576
113a2a690556
12196a304600
13b4a7b33cb
1463dbb85d6
15394443786
hex228d8a260

9275220576 has 288 divisors, whose sum is σ = 29253893760. Its totient is φ = 2882221056.

The previous prime is 9275220551. The next prime is 9275220583. The reversal of 9275220576 is 6750225729.

9275220576 is a `hidden beast` number, since 9 + 2 + 7 + 52 + 20 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9898380 + ... + 9899316.

It is an arithmetic number, because the mean of its divisors is an integer number (101576020).

Almost surely, 29275220576 is an apocalyptic number.

9275220576 is a gapful number since it is divisible by the number (96) 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 9275220576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14626946880).

9275220576 is an abundant number, since it is smaller than the sum of its proper divisors (19978673184).

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

9275220576 is a wasteful number, since it uses less digits than its factorization.

9275220576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 9275220576 is about 96307.9465880153. The cubic root of 9275220576 is about 2101.0743237702.

The spelling of 9275220576 in words is "nine billion, two hundred seventy-five million, two hundred twenty thousand, five hundred seventy-six".