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13107281844 = 22329433832287
BaseRepresentation
bin11000011010100000…
…10011111110110100
31020211110122220111010
430031100103332310
5203320431004334
610004342312220
7642545025456
oct141520237664
936743586433
1013107281844
11561679a938
122659728670
13130b694a97
148c4ad42d6
1551aa940e9
hex30d413fb4

13107281844 has 96 divisors (see below), whose sum is σ = 32472760320. Its totient is φ = 4107777408.

The previous prime is 13107281807. The next prime is 13107281867. The reversal of 13107281844 is 44818270131.

13107281844 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 31 ways as a sum of consecutive naturals, for example, 5730069 + ... + 5732355.

It is an arithmetic number, because the mean of its divisors is an integer number (338257920).

Almost surely, 213107281844 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 13107281844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16236380160).

13107281844 is an abundant number, since it is smaller than the sum of its proper divisors (19365478476).

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

13107281844 is a wasteful number, since it uses less digits than its factorization.

13107281844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 13107281844 in words is "thirteen billion, one hundred seven million, two hundred eighty-one thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 258 348 383 516 766 1149 1247 1532 2287 2298 2494 3741 4574 4596 4988 6861 7482 9148 11107 13722 14964 16469 22214 27444 32938 33321 44428 49407 65876 66323 66642 98341 98814 132646 133284 196682 197628 198969 265292 295023 393364 397938 477601 590046 795876 875921 955202 1180092 1432803 1751842 1910404 2627763 2851889 2865606 3503684 5255526 5703778 5731212 8555667 10511052 11407556 17111334 25401709 34222668 37664603 50803418 75329206 76205127 101606836 112993809 150658412 152410254 225987618 304820508 451975236 1092273487 2184546974 3276820461 4369093948 6553640922 13107281844