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80729443872 = 253271117214141
BaseRepresentation
bin100101100101111011…
…0011000111000100000
321201101011200122212200
41023023312120320200
52310313214200442
6101030412053200
75555356644060
oct1131366307040
9251334618780
1080729443872
1131267737060
1213790164200
1377c72b2ccc
143c9b9b93a0
15217755a34c
hex12cbd98e20

80729443872 has 288 divisors, whose sum is σ = 303060610944. Its totient is φ = 19735142400.

The previous prime is 80729443859. The next prime is 80729443897. The reversal of 80729443872 is 27834492708.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269922 + ... + 484062.

It is an arithmetic number, because the mean of its divisors is an integer number (1052293788).

Almost surely, 280729443872 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 80729443872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151530305472).

80729443872 is an abundant number, since it is smaller than the sum of its proper divisors (222331167072).

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

80729443872 is a wasteful number, since it uses less digits than its factorization.

80729443872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214192 (or 214181 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 80729443872 in words is "eighty billion, seven hundred twenty-nine million, four hundred forty-three thousand, eight hundred seventy-two".