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80160315840 = 26325113122633
BaseRepresentation
bin100101010100111101…
…1010101100111000000
321122220111202221222200
41022221323111213000
52303132020101330
6100454121433200
75535306304503
oct1125173254700
9248814687880
1080160315840
1130aa5454810
121365163b800
137736406267
143c4618b13a
1521425d9a60
hex12a9ed59c0

80160315840 has 504 divisors, whose sum is σ = 310917086064. Its totient is φ = 18798796800.

The previous prime is 80160315827. The next prime is 80160315847. The reversal of 80160315840 is 4851306108.

80160315840 is a `hidden beast` number, since 8 + 0 + 1 + 603 + 1 + 5 + 8 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 80160315795 and 80160315804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80160315847) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30443164 + ... + 30445796.

Almost surely, 280160315840 is an apocalyptic number.

80160315840 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 80160315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155458543032).

80160315840 is an abundant number, since it is smaller than the sum of its proper divisors (230756770224).

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

80160315840 is a wasteful number, since it uses less digits than its factorization.

80160315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 80160315840 in words is "eighty billion, one hundred sixty million, three hundred fifteen thousand, eight hundred forty".