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180012907872 = 25337175916921
BaseRepresentation
bin1010011110100110011…
…0101111110101100000
3122012122102001012112000
42213221212233311200
510422131301022442
6214410301204000
716001613320250
oct2475146576540
9565572035460
10180012907872
116a385659046
122aa79b60600
1313c8a513845
1489d97d9960
154a38907d4c
hex29e99afd60

180012907872 has 192 divisors, whose sum is σ = 600419635200. Its totient is φ = 51399982080.

The previous prime is 180012907853. The next prime is 180012907951. The reversal of 180012907872 is 278709210081.

180012907872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10629972 + ... + 10646892.

It is an arithmetic number, because the mean of its divisors is an integer number (3127185600).

Almost surely, 2180012907872 is an apocalyptic number.

180012907872 is a gapful number since it is divisible by the number (12) 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 180012907872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300209817600).

180012907872 is an abundant number, since it is smaller than the sum of its proper divisors (420406727328).

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

180012907872 is a wasteful number, since it uses less digits than its factorization.

180012907872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18706 (or 18692 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 180012907872 in words is "one hundred eighty billion, twelve million, nine hundred seven thousand, eight hundred seventy-two".