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9053125920 = 253353167601
BaseRepresentation
bin10000110111001101…
…11011110100100000
3212100221001110002000
420123212323310200
5122020100012140
64054155524000
7440226205056
oct103346736440
925327043060
109053125920
113926287553
121907a59600
13b13791457
1461c4c41d6
1537ebc2a30
hex21b9bbd20

9053125920 has 192 divisors, whose sum is σ = 32708551680. Its totient is φ = 2336256000.

The previous prime is 9053125883. The next prime is 9053125937. The reversal of 9053125920 is 295213509.

It is a happy number.

9053125920 is a `hidden beast` number, since 9 + 0 + 53 + 12 + 592 + 0 = 666.

9053125920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100120 + ... + 167720.

It is an arithmetic number, because the mean of its divisors is an integer number (170357040).

Almost surely, 29053125920 is an apocalyptic number.

9053125920 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 9053125920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16354275840).

9053125920 is an abundant number, since it is smaller than the sum of its proper divisors (23655425760).

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

9053125920 is a wasteful number, since it uses less digits than its factorization.

9053125920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67656 (or 67642 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 9053125920 is about 95147.9160045032. The cubic root of 9053125920 is about 2084.1686245986.

The spelling of 9053125920 in words is "nine billion, fifty-three million, one hundred twenty-five thousand, nine hundred twenty".