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80928301440 = 27357171272789
BaseRepresentation
bin100101101011110110…
…0111110000110000000
321201220000212200011210
41023113230332012000
52311220121121230
6101102234210120
75563323132540
oct1132754760600
9251800780153
1080928301440
1131359a09758
1213826883940
13782955a2cc
143cba181320
152189c3aeb0
hex12d7b3e180

80928301440 has 512 divisors, whose sum is σ = 314722713600. Its totient is φ = 17266507776.

The previous prime is 80928301427. The next prime is 80928301589. The reversal of 80928301440 is 4410382908.

It is a Cunningham number, because it is equal to 2844792-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29015566 + ... + 29018354.

It is an arithmetic number, because the mean of its divisors is an integer number (614692800).

Almost surely, 280928301440 is an apocalyptic number.

80928301440 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 80928301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157361356800).

80928301440 is an abundant number, since it is smaller than the sum of its proper divisors (233794412160).

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

80928301440 is a wasteful number, since it uses less digits than its factorization.

80928301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 80928301440 in words is "eighty billion, nine hundred twenty-eight million, three hundred one thousand, four hundred forty".