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80479008000 = 28345361509
BaseRepresentation
bin100101011110011101…
…1000011010100000000
321200201201110012110000
41022330323003110000
52304310111224000
6100545504240000
75546226165246
oct1127473032400
9250651405400
1080479008000
1131149335966
1213720310000
13778744a0c1
143c76628796
15216058c000
hex12bcec3500

80479008000 has 720 divisors, whose sum is σ = 304995010320. Its totient is φ = 21067776000.

The previous prime is 80479007957. The next prime is 80479008017. The reversal of 80479008000 is 80097408.

It can be written as a sum of positive squares in 8 ways, for example, as 36459611136 + 44019396864 = 190944^2 + 209808^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 158111746 + ... + 158112254.

It is an arithmetic number, because the mean of its divisors is an integer number (423604181).

Almost surely, 280479008000 is an apocalyptic number.

80479008000 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 80479008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152497505160).

80479008000 is an abundant number, since it is smaller than the sum of its proper divisors (224516002320).

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

80479008000 is an equidigital number, since it uses as much as digits as its factorization.

80479008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 80479008000 in words is "eighty billion, four hundred seventy-nine million, eight thousand".