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80836149600 = 253252233779167
BaseRepresentation
bin100101101001000110…
…1011100000101100000
321201122121110212121200
41023102031130011200
52311023023241400
6101045143121200
75561123635353
oct1132215340540
9251577425550
1080836149600
1131311998708
12137bba43200
137813433aab
143cabc3429a
152181ad6b00
hex12d235c160

80836149600 has 864 divisors, whose sum is σ = 311200081920. Its totient is φ = 19689246720.

The previous prime is 80836149571. The next prime is 80836149631. The reversal of 80836149600 is 694163808.

80836149600 is a `hidden beast` number, since 8 + 0 + 8 + 36 + 1 + 4 + 9 + 600 = 666.

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 143 ways as a sum of consecutive naturals, for example, 484048717 + ... + 484048883.

It is an arithmetic number, because the mean of its divisors is an integer number (360185280).

Almost surely, 280836149600 is an apocalyptic number.

80836149600 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 80836149600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155600040960).

80836149600 is an abundant number, since it is smaller than the sum of its proper divisors (230363932320).

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

80836149600 is a wasteful number, since it uses less digits than its factorization.

80836149600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 80836149600 in words is "eighty billion, eight hundred thirty-six million, one hundred forty-nine thousand, six hundred".