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80442649728 = 27327431132053
BaseRepresentation
bin100101011101011000…
…0010110110010000000
321200122012001000021100
41022322300112302000
52304221304242403
6100542125054400
75545305145410
oct1127260266200
9250565030240
1080442649728
113112a862401
12137100b7400
13777ca5a02c
143c71882640
15215c2a92a3
hex12bac16c80

80442649728 has 384 divisors, whose sum is σ = 273231953280. Its totient is φ = 22239608832.

The previous prime is 80442649681. The next prime is 80442649751. The reversal of 80442649728 is 82794624408.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39181950 + ... + 39184002.

It is an arithmetic number, because the mean of its divisors is an integer number (711541545).

Almost surely, 280442649728 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 80442649728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136615976640).

80442649728 is an abundant number, since it is smaller than the sum of its proper divisors (192789303552).

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

80442649728 is a wasteful number, since it uses less digits than its factorization.

80442649728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 80442649728 in words is "eighty billion, four hundred forty-two million, six hundred forty-nine thousand, seven hundred twenty-eight".