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80400287400000 = 26355731939511
BaseRepresentation
bin10010010001111110100110…
…100100100000000001000000
3101112200012012021012211022020
4102101332212210200001000
541014234242033300000
6442555214312441440
722635505033642251
oct2221764644400100
9345605167184266
1080400287400000
112368863022a3a7
1290261456a9280
1335b2939ba9219
1415bd574daab28
159465e16a2ba0
hex491fa6920040

80400287400000 has 672 divisors, whose sum is σ = 270957541107456. Its totient is φ = 21034598400000.

The previous prime is 80400287399981. The next prime is 80400287400011. The reversal of 80400287400000 is 478200408.

80400287400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8453395245 + ... + 8453404755.

It is an arithmetic number, because the mean of its divisors is an integer number (403210626648).

Almost surely, 280400287400000 is an apocalyptic number.

80400287400000 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 80400287400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135478770553728).

80400287400000 is an abundant number, since it is smaller than the sum of its proper divisors (190557253707456).

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

80400287400000 is an equidigital number, since it uses as much as digits as its factorization.

80400287400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9817 (or 9787 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 80400287400000 in words is "eighty trillion, four hundred billion, two hundred eighty-seven million, four hundred thousand".