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80224174080 = 214325233467
BaseRepresentation
bin100101010110110111…
…0111100000000000000
321200001221221022000200
41022231232330000000
52303244342032310
6100504322245200
75540013141231
oct1125556740000
9250057838020
1080224174080
1131028500416
121366aab6800
1377467043bb
143c50851088
1521480009c0
hex12adbbc000

80224174080 has 360 divisors, whose sum is σ = 279893616912. Its totient is φ = 21255684096.

The previous prime is 80224174057. The next prime is 80224174109. The reversal of 80224174080 is 8047142208.

80224174080 is a `hidden beast` number, since 8 + 0 + 2 + 241 + 7 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171786007 + ... + 171786473.

Almost surely, 280224174080 is an apocalyptic number.

80224174080 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 80224174080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139946808456).

80224174080 is an abundant number, since it is smaller than the sum of its proper divisors (199669442832).

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

80224174080 is a wasteful number, since it uses less digits than its factorization.

80224174080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 80224174080 in words is "eighty billion, two hundred twenty-four million, one hundred seventy-four thousand, eighty".