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12738362664416 = 251723416107839
BaseRepresentation
bin1011100101011110000110…
…0101001110010111100000
31200002202221101200202212012
42321113201211032113200
53132201131320230131
643031531212252052
72453213334056504
oct271274145162740
950082841622765
1012738362664416
1140713446aa034
121518943a71028
137152b793344c
1432077bc3c304
15171549d8852b
hexb95e194e5e0

12738362664416 has 24 divisors (see below), whose sum is σ = 26553866290560. Its totient is φ = 5994523606528.

The previous prime is 12738362664403. The next prime is 12738362664463. The reversal of 12738362664416 is 61446626383721.

12738362664416 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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11708053376 + ... + 11708054463.

It is an arithmetic number, because the mean of its divisors is an integer number (1106411095440).

Almost surely, 212738362664416 is an apocalyptic number.

12738362664416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12738362664416 is an abundant number, since it is smaller than the sum of its proper divisors (13815503626144).

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

12738362664416 is a wasteful number, since it uses less digits than its factorization.

12738362664416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23416107866 (or 23416107858 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 59.

The spelling of 12738362664416 in words is "twelve trillion, seven hundred thirty-eight billion, three hundred sixty-two million, six hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 23416107839 46832215678 93664431356 187328862712 374657725424 398073833263 749315450848 796147666526 1592295333052 3184590666104 6369181332208 12738362664416