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80792294400 = 2103352179653
BaseRepresentation
bin100101100111110011…
…0001001010000000000
321201112112221210121000
41023033212021100000
52310430311410100
6101040535132000
75560052112546
oct1131746112000
9251475853530
1080792294400
113129a164644
12137a9214000
13780731a57c
143ca6099d96
15217cd22900
hex12cf989400

80792294400 has 528 divisors, whose sum is σ = 298806321600. Its totient is φ = 21391441920.

The previous prime is 80792294393. The next prime is 80792294413. The reversal of 80792294400 is 449229708.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123724474 + ... + 123725126.

Almost surely, 280792294400 is an apocalyptic number.

80792294400 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 80792294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149403160800).

80792294400 is an abundant number, since it is smaller than the sum of its proper divisors (218014027200).

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

80792294400 is a wasteful number, since it uses less digits than its factorization.

80792294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 80792294400 in words is "eighty billion, seven hundred ninety-two million, two hundred ninety-four thousand, four hundred".