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12801209280 = 263513334593
BaseRepresentation
bin10111110110000001…
…01111001111000000
31020001010201210212020
423323000233033000
5202204102144110
65514130201440
7632140324566
oct137300571700
936033653766
1012801209280
115479a49002
122593123280
13129014bc62
148961bda36
154edc85d70
hex2fb02f3c0

12801209280 has 56 divisors (see below), whose sum is σ = 40643842512. Its totient is φ = 3413655552.

The previous prime is 12801209279. The next prime is 12801209293. The reversal of 12801209280 is 8290210821.

12801209280 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 an unprimeable number.

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, 6666337 + ... + 6668256.

It is an arithmetic number, because the mean of its divisors is an integer number (725782902).

Almost surely, 212801209280 is an apocalyptic number.

12801209280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12801209280 is an abundant number, since it is smaller than the sum of its proper divisors (27842633232).

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

12801209280 is a wasteful number, since it uses less digits than its factorization.

12801209280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13334613 (or 13334603 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 12801209280 in words is "twelve billion, eight hundred one million, two hundred nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 13334593 26669186 40003779 53338372 66672965 80007558 106676744 133345930 160015116 200018895 213353488 266691860 320030232 400037790 426706976 533383720 640060464 800075580 853413952 1066767440 1280120928 1600151160 2133534880 2560241856 3200302320 4267069760 6400604640 12801209280