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9055425600 = 263252132612
BaseRepresentation
bin10000110111011111…
…01101010001000000
3212101002101021122100
420123233231101000
5122021142104400
64054321110400
7440254563504
oct103357552100
925332337570
109055425600
113927608311
121908788400
13b140b8100
1461c922304
1537eec9100
hex21bbed440

9055425600 has 567 divisors, whose sum is σ = 35432043309. Its totient is φ = 2192486400.

The previous prime is 9055425569. The next prime is 9055425601. The reversal of 9055425600 is 65245509.

The square root of 9055425600 is 95160.

It is a perfect power (a square), and thus also a powerful number.

9055425600 is a `hidden beast` number, since 9 + 0 + 5 + 5 + 42 + 5 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 7983779904 + 1071645696 = 89352^2 + 32736^2 .

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

It is not an unprimeable number, because it can be changed into a prime (9055425601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 148449570 + ... + 148449630.

Almost surely, 29055425600 is an apocalyptic number.

9055425600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9055425600 is the 95160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9055425600

9055425600 is an abundant number, since it is smaller than the sum of its proper divisors (26376617709).

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

9055425600 is a wasteful number, since it uses less digits than its factorization.

9055425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The cubic root of 9055425600 is about 2084.3450835429.

Multiplying 9055425600 by its sum of digits (36), we get a square (325995321600 = 5709602).

9055425600 divided by its sum of digits (36) gives a square (251539600 = 158602).

The spelling of 9055425600 in words is "nine billion, fifty-five million, four hundred twenty-five thousand, six hundred".