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9925450920 = 23325711243757
BaseRepresentation
bin10010011111001101…
…00101110010101000
3221121201111011000100
421033212211302220
5130311403412140
64320520505400
7500650640460
oct111746456250
927551434010
109925450920
114233727200
121b1001b260
13c224181a8
146a22b8ba0
153d1584530
hex24f9a5ca8

9925450920 has 576 divisors, whose sum is σ = 41519237760. Its totient is φ = 2011806720.

The previous prime is 9925450897. The next prime is 9925450921. The reversal of 9925450920 is 290545299.

9925450920 is a `hidden beast` number, since 9 + 92 + 54 + 509 + 2 + 0 = 666.

9925450920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9925450921) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 13111182 + ... + 13111938.

It is an arithmetic number, because the mean of its divisors is an integer number (72082010).

Almost surely, 29925450920 is an apocalyptic number.

9925450920 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 9925450920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20759618880).

9925450920 is an abundant number, since it is smaller than the sum of its proper divisors (31593786840).

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

9925450920 is a wasteful number, since it uses less digits than its factorization.

9925450920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 9925450920 is about 99626.5573027594. The cubic root of 9925450920 is about 2149.0676267314.

The spelling of 9925450920 in words is "nine billion, nine hundred twenty-five million, four hundred fifty thousand, nine hundred twenty".