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9055272960 = 2153352389
BaseRepresentation
bin10000110111011110…
…01000000000000000
3212101002002112021000
420123233020000000
5122021122213320
64054313532000
7440253356466
oct103357100000
925332075230
109055272960
113927513668
121908714000
13b140637a6
1461c8c2836
1537ee98c90
hex21bbc8000

9055272960 has 512 divisors, whose sum is σ = 33973344000. Its totient is φ = 2283798528.

The previous prime is 9055272953. The next prime is 9055273013. The reversal of 9055272960 is 692725509.

9055272960 is a `hidden beast` number, since 9 + 0 + 552 + 7 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101744596 + ... + 101744684.

Almost surely, 29055272960 is an apocalyptic number.

9055272960 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 9055272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16986672000).

9055272960 is an abundant number, since it is smaller than the sum of its proper divisors (24918071040).

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

9055272960 is an equidigital number, since it uses as much as digits as its factorization.

9055272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 9055272960 is about 95159.1979789658. The cubic root of 9055272960 is about 2084.3333721029. Note that the first 4 decimals are identical.

The spelling of 9055272960 in words is "nine billion, fifty-five million, two hundred seventy-two thousand, nine hundred sixty".