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9055152000 = 27355317137
BaseRepresentation
bin10000110111011101…
…01010011110000000
3212101001212101100000
420123232222132000
5122021104331000
64054311200000
7440252344026
oct103356523600
925331771300
109055152000
1139274407a4
121908676000
13b1402070b
1461c890716
1537ee73000
hex21bbaa780

9055152000 has 768 divisors, whose sum is σ = 35968121280. Its totient is φ = 2256076800.

The previous prime is 9055151977. The next prime is 9055152037. The reversal of 9055152000 is 2515509.

9055152000 is a `hidden beast` number, since 90 + 5 + 51 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 66095932 + ... + 66096068.

Almost surely, 29055152000 is an apocalyptic number.

9055152000 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 9055152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17984060640).

9055152000 is an abundant number, since it is smaller than the sum of its proper divisors (26912969280).

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

9055152000 is a wasteful number, since it uses less digits than its factorization.

9055152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 9055152000 is about 95158.5624103265. The cubic root of 9055152000 is about 2084.3240912456.

Adding to 9055152000 its reverse (2515509), we get a palindrome (9057667509).

The spelling of 9055152000 in words is "nine billion, fifty-five million, one hundred fifty-two thousand".