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8080155648 = 21034611597
BaseRepresentation
bin1111000011001110…
…10110010000000000
3202212010020102210000
413201213112100000
5113022004440043
63413441440000
7404143122045
oct74147262000
922763212700
108080155648
113477045594
121696040000
139ba0292b6
145691b11cc
153245802d3
hex1e19d6400

8080155648 has 220 divisors, whose sum is σ = 24539837212. Its totient is φ = 2647572480.

The previous prime is 8080155637. The next prime is 8080155667. The reversal of 8080155648 is 8465510808.

8080155648 is a `hidden beast` number, since 8 + 0 + 80 + 1 + 5 + 564 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 812934144 + 7267221504 = 28512^2 + 85248^2 .

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 5058786 + ... + 5060382.

Almost surely, 28080155648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8080155648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12269918606).

8080155648 is an abundant number, since it is smaller than the sum of its proper divisors (16459681564).

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

8080155648 is a wasteful number, since it uses less digits than its factorization.

8080155648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 8080155648 is about 89889.6859934442. The cubic root of 8080155648 is about 2006.6574519112.

The spelling of 8080155648 in words is "eight billion, eighty million, one hundred fifty-five thousand, six hundred forty-eight".