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80665447968 = 2538727841
BaseRepresentation
bin100101100100000001…
…0010000111000100000
321201012201021100000000
41023020002100320200
52310200323313333
6101020204300000
75553651665100
oct1131002207040
9251181240000
1080665447968
11312345a6a86
1213772841600
1377b6c67301
143c932bb200
152171b18713
hex12c8090e20

80665447968 has 324 divisors, whose sum is σ = 277128681102. Its totient is φ = 23044331520.

The previous prime is 80665447957. The next prime is 80665447981. The reversal of 80665447968 is 86974456608.

80665447968 is a `hidden beast` number, since 80 + 6 + 6 + 544 + 7 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72841691664 + 7823756304 = 269892^2 + 88452^2 .

It is a tau number, because it is divible by the number of its divisors (324).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10283728 + ... + 10291568.

Almost surely, 280665447968 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 80665447968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138564340551).

80665447968 is an abundant number, since it is smaller than the sum of its proper divisors (196463233134).

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

80665447968 is an frugal number, since it uses more digits than its factorization.

80665447968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7889 (or 7853 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 80665447968 in words is "eighty billion, six hundred sixty-five million, four hundred forty-seven thousand, nine hundred sixty-eight".