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80163115200 = 26325274211889
BaseRepresentation
bin100101010101000011…
…0000001000011000000
321122220201001011222200
41022222012001003000
52303133224141300
6100454301433200
75535342144060
oct1125206010300
9248821034880
1080163115200
1130aa6a96a33
121365256b800
137736b7649c
143c466b93a0
15214298e200
hex12aa1810c0

80163115200 has 504 divisors, whose sum is σ = 326567535840. Its totient is φ = 18269798400.

The previous prime is 80163115189. The next prime is 80163115223. The reversal of 80163115200 is 251136108.

80163115200 is a `hidden beast` number, since 8 + 0 + 1 + 631 + 1 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×801631152002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42435856 + ... + 42437744.

It is an arithmetic number, because the mean of its divisors is an integer number (647951460).

Almost surely, 280163115200 is an apocalyptic number.

80163115200 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 80163115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163283767920).

80163115200 is an abundant number, since it is smaller than the sum of its proper divisors (246404420640).

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

80163115200 is a wasteful number, since it uses less digits than its factorization.

80163115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 80163115200 in words is "eighty billion, one hundred sixty-three million, one hundred fifteen thousand, two hundred".