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12805412984 = 2371317589853
BaseRepresentation
bin10111110110100001…
…10001100001111000
31020001102122101020222
423323100301201320
5202211141203414
65514400235212
7632221133360
oct137320614170
936042571228
1012805412984
11548135a341
12259460bb08
131290c91460
148969959a0
154ee31668e
hex2fb431878

12805412984 has 32 divisors (see below), whose sum is σ = 29550954720. Its totient is φ = 5065877376.

The previous prime is 12805412969. The next prime is 12805412987. The reversal of 12805412984 is 48921450821.

12805412984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12805412987) 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 7 ways as a sum of consecutive naturals, for example, 8794199 + ... + 8795654.

It is an arithmetic number, because the mean of its divisors is an integer number (923467335).

Almost surely, 212805412984 is an apocalyptic number.

12805412984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12805412984 is an abundant number, since it is smaller than the sum of its proper divisors (16745541736).

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

12805412984 is a wasteful number, since it uses less digits than its factorization.

12805412984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17589879 (or 17589875 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The spelling of 12805412984 in words is "twelve billion, eight hundred five million, four hundred twelve thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 17589853 35179706 70359412 123128971 140718824 228668089 246257942 457336178 492515884 914672356 985031768 1600676623 1829344712 3201353246 6402706492 12805412984