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80551516500 = 2233537213171929
BaseRepresentation
bin100101100000100111…
…1101001100101010100
321200220202220000102000
41023001033221211110
52304432142012000
6101001014315300
75551066410300
oct1130117514524
9250822800360
1080551516500
113118625a644
1213740658b30
137799486640
143c82100d00
152166b11000
hex12c13e9954

80551516500 has 2304 divisors, whose sum is σ = 376451712000. Its totient is φ = 14631321600.

The previous prime is 80551516499. The next prime is 80551516537. The reversal of 80551516500 is 561515508.

80551516500 is a `hidden beast` number, since 8 + 0 + 551 + 51 + 6 + 50 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2777638486 + ... + 2777638514.

It is an arithmetic number, because the mean of its divisors is an integer number (163390500).

Almost surely, 280551516500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80551516500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856000).

80551516500 is an abundant number, since it is smaller than the sum of its proper divisors (295900195500).

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

80551516500 is a wasteful number, since it uses less digits than its factorization.

80551516500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 80551516500 in words is "eighty billion, five hundred fifty-one million, five hundred sixteen thousand, five hundred".