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80874478944 = 25337292331979
BaseRepresentation
bin100101101010001111…
…1101001110101100000
321201202021121012121000
41023110133221311200
52311112331311234
6101053032432000
75562100504620
oct1132437516540
9251667535530
1080874478944
1131331598056
1213810848600
13781b36408c
143cb2d70880
152185158899
hex12d47e9d60

80874478944 has 384 divisors, whose sum is σ = 280215936000. Its totient is φ = 22203224064.

The previous prime is 80874478933. The next prime is 80874478957. The reversal of 80874478944 is 44987447808.

80874478944 is a `hidden beast` number, since 8 + 0 + 8 + 74 + 478 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40865347 + ... + 40867325.

It is an arithmetic number, because the mean of its divisors is an integer number (729729000).

Almost surely, 280874478944 is an apocalyptic number.

80874478944 is a gapful number since it is divisible by the number (84) 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 80874478944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140107968000).

80874478944 is an abundant number, since it is smaller than the sum of its proper divisors (199341457056).

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

80874478944 is a wasteful number, since it uses less digits than its factorization.

80874478944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 80874478944 in words is "eighty billion, eight hundred seventy-four million, four hundred seventy-eight thousand, nine hundred forty-four".