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13107828412 = 2274112139413
BaseRepresentation
bin11000011010100100…
…11001011010111100
31020211111200200020101
430031102121122330
5203321101002122
610004402130444
7642552463120
oct141522313274
936744620211
1013107828412
115617033548
122659950a24
13130b8267b3
148c4bd7580
1551ab51027
hex30d4996bc

13107828412 has 48 divisors (see below), whose sum is σ = 26880057792. Its totient is φ = 5475525120.

The previous prime is 13107828361. The next prime is 13107828443. The reversal of 13107828412 is 21482870131.

13107828412 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 15 ways as a sum of consecutive naturals, for example, 1387818 + ... + 1397230.

It is an arithmetic number, because the mean of its divisors is an integer number (560001204).

Almost surely, 213107828412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13107828412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13440028896).

13107828412 is an abundant number, since it is smaller than the sum of its proper divisors (13772229380).

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

13107828412 is a wasteful number, since it uses less digits than its factorization.

13107828412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10678 (or 10676 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 13107828412 in words is "thirteen billion, one hundred seven million, eight hundred twenty-eight thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 41 82 164 287 574 1148 1213 2426 4852 8491 9413 16982 18826 33964 37652 49733 65891 99466 131782 198932 263564 348131 385933 696262 771866 1392524 1543732 2701531 5403062 10806124 11417969 22835938 45671876 79925783 159851566 319703132 468136729 936273458 1872546916 3276957103 6553914206 13107828412