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8745628320 = 25355113132
BaseRepresentation
bin10000010010100011…
…11011001010100000
3211120111102221200000
420021101323022200
5120402340101240
64003453100000
7426503420442
oct101121731240
924514387600
108745628320
113788752000
121840a87600
13a94b69b00
145cd71c492
15362bd2430
hex20947b2a0

8745628320 has 864 divisors, whose sum is σ = 36862547904. Its totient is φ = 1957063680.

The previous prime is 8745628277. The next prime is 8745628327. The reversal of 8745628320 is 238265478.

8745628320 is a `hidden beast` number, since 8 + 7 + 4 + 562 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8745628327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 672740634 + ... + 672740646.

It is an arithmetic number, because the mean of its divisors is an integer number (42664986).

Almost surely, 28745628320 is an apocalyptic number.

8745628320 is a gapful number since it is divisible by the number (80) 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 8745628320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18431273952).

8745628320 is an abundant number, since it is smaller than the sum of its proper divisors (28116919584).

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

8745628320 is a wasteful number, since it uses less digits than its factorization.

8745628320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 8745628320 is about 93518.0641373633. The cubic root of 8745628320 is about 2060.2994129158.

The spelling of 8745628320 in words is "eight billion, seven hundred forty-five million, six hundred twenty-eight thousand, three hundred twenty".