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80147364192 = 253573494219
BaseRepresentation
bin100101010100100100…
…1111011100101100000
321122212121101221200000
41022221021323211200
52303120211123232
6100452540100000
75535061232550
oct1125111734540
9248777357600
1080147364192
1130a99108a75
1213649234600
13773382006c
143c44579160
1521413cc27c
hex12a927b960

80147364192 has 288 divisors, whose sum is σ = 270964512000. Its totient is φ = 22828220928.

The previous prime is 80147364191. The next prime is 80147364197. The reversal of 80147364192 is 29146374108.

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

It is a super-3 number, since 3×801473641923 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80147364191) by changing a digit.

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, 18994659 + ... + 18998877.

It is an arithmetic number, because the mean of its divisors is an integer number (940849000).

Almost surely, 280147364192 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 80147364192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135482256000).

80147364192 is an abundant number, since it is smaller than the sum of its proper divisors (190817147808).

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

80147364192 is a wasteful number, since it uses less digits than its factorization.

80147364192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600 (or 4580 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 80147364192 in words is "eighty billion, one hundred forty-seven million, three hundred sixty-four thousand, one hundred ninety-two".