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12838105424 = 241747198917
BaseRepresentation
bin10111111010011010…
…11111000101010000
31020010201011022212002
423331031133011100
5202243023333144
65521525053132
7633066044534
oct137515370520
936121138762
1012838105424
115498859691
1225a35571a8
131297999ab1
1489b065bc4
1550212314e
hex2fd35f150

12838105424 has 20 divisors (see below), whose sum is σ = 26336996244. Its totient is φ = 6041461248.

The previous prime is 12838105411. The next prime is 12838105453. The reversal of 12838105424 is 42450183821.

It can be written as a sum of positive squares in 2 ways, for example, as 4125749824 + 8712355600 = 64232^2 + 93340^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23599187 + ... + 23599730.

Almost surely, 212838105424 is an apocalyptic number.

It is an amenable number.

12838105424 is an abundant number, since it is smaller than the sum of its proper divisors (13498890820).

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

12838105424 is a wasteful number, since it uses less digits than its factorization.

12838105424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47198942 (or 47198936 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The spelling of 12838105424 in words is "twelve billion, eight hundred thirty-eight million, one hundred five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 47198917 94397834 188795668 377591336 755182672 802381589 1604763178 3209526356 6419052712 12838105424