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12438833000 = 2353111130803
BaseRepresentation
bin10111001010110100…
…11000011101101000
31012002212212012001112
423211122120131220
5200433320124000
65414143205452
7620150223146
oct134532303550
935085765045
1012438833000
115303440380
1224b18a6888
131233051719
14860010596
154cc055235
hex2e5698768

12438833000 has 64 divisors (see below), whose sum is σ = 31752976320. Its totient is φ = 4523208000.

The previous prime is 12438832963. The next prime is 12438833023. The reversal of 12438833000 is 33883421.

It is a happy number.

12438833000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 554402 + ... + 576401.

It is an arithmetic number, because the mean of its divisors is an integer number (496140255).

Almost surely, 212438833000 is an apocalyptic number.

12438833000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12438833000 is an abundant number, since it is smaller than the sum of its proper divisors (19314143320).

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

12438833000 is a wasteful number, since it uses less digits than its factorization.

12438833000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130835 (or 1130821 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 12438833000 in words is "twelve billion, four hundred thirty-eight million, eight hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 1130803 2261606 4523212 5654015 9046424 11308030 12438833 22616060 24877666 28270075 45232120 49755332 56540150 62194165 99510664 113080300 124388330 141350375 226160600 248776660 282700750 310970825 497553320 565401500 621941650 1130803000 1243883300 1554854125 2487766600 3109708250 6219416500 12438833000