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12082644805032 = 2332167814511181
BaseRepresentation
bin1010111111010011010111…
…0000000110010110101000
31120210002102021212012020100
42233310311300012112220
53040430224032230112
641410405043025400
72354641126164654
oct257646560062650
946702367765210
1012082644805032
113939247aa906a
12143184536b260
13698508754299
142dab35adda64
1515e46d6c02dc
hexafd35c065a8

12082644805032 has 24 divisors (see below), whose sum is σ = 32723829680490. Its totient is φ = 4027548268320.

The previous prime is 12082644805013. The next prime is 12082644805061. The reversal of 12082644805032 is 23050844628021.

12082644805032 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 2 + 64 + 4 + 80 + 503 + 2 = 666.

12082644805032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10363467546756 + 1719177258276 = 3219234^2 + 1311174^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83907255519 + ... + 83907255662.

Almost surely, 212082644805032 is an apocalyptic number.

12082644805032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12082644805032 is an abundant number, since it is smaller than the sum of its proper divisors (20641184875458).

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

12082644805032 is a wasteful number, since it uses less digits than its factorization.

12082644805032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167814511193 (or 167814511186 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 12082644805032 in words is "twelve trillion, eighty-two billion, six hundred forty-four million, eight hundred five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167814511181 335629022362 503443533543 671258044724 1006887067086 1342516089448 1510330600629 2013774134172 3020661201258 4027548268344 6041322402516 12082644805032