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80791180272 = 243311294179181
BaseRepresentation
bin100101100111110000…
…1111001001111110000
321201112110212012022000
41023033201321033300
52310430020232042
6101040455214000
75560036462425
oct1131741711760
9251473765260
1080791180272
1131299573580
12137a8977300
13780701a41a
143ca5c89d4c
15217cba274c
hex12cf8793f0

80791180272 has 640 divisors, whose sum is σ = 272982528000. Its totient is φ = 22643712000.

The previous prime is 80791180271. The next prime is 80791180291. The reversal of 80791180272 is 27208119708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80791180271) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 446360022 + ... + 446360202.

It is an arithmetic number, because the mean of its divisors is an integer number (426535200).

Almost surely, 280791180272 is an apocalyptic number.

80791180272 is a gapful number since it is divisible by the number (82) 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 80791180272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264000).

80791180272 is an abundant number, since it is smaller than the sum of its proper divisors (192191347728).

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

80791180272 is a wasteful number, since it uses less digits than its factorization.

80791180272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 80791180272 in words is "eighty billion, seven hundred ninety-one million, one hundred eighty thousand, two hundred seventy-two".