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12743669744 = 24131719118869
BaseRepresentation
bin10111101111001010…
…01111011111110000
31012220010110111110022
423313211033133300
5202044334412434
65504313023012
7630541256051
oct136745173760
935803414408
1012743669744
11544a518773
1225779b4a68
131281253bb0
1488c6c2728
154e8bbc22e
hex2f794f7f0

12743669744 has 80 divisors (see below), whose sum is σ = 28303188480. Its totient is φ = 5506437120.

The previous prime is 12743669713. The next prime is 12743669773. The reversal of 12743669744 is 44796634721.

It is a happy number.

It is a super-2 number, since 2×127436697442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665942 + ... + 684810.

It is an arithmetic number, because the mean of its divisors is an integer number (353789856).

Almost surely, 212743669744 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 12743669744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14151594240).

12743669744 is an abundant number, since it is smaller than the sum of its proper divisors (15559518736).

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

12743669744 is a wasteful number, since it uses less digits than its factorization.

12743669744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19098 (or 19092 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 53.

The spelling of 12743669744 in words is "twelve billion, seven hundred forty-three million, six hundred sixty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 191 208 221 272 382 442 764 884 1528 1768 2483 3056 3247 3536 4966 6494 9932 12988 18869 19864 25976 37738 39728 42211 51952 75476 84422 150952 168844 245297 301904 320773 337688 490594 641546 675376 981188 1283092 1962376 2566184 3603979 3924752 4170049 5132368 7207958 8340098 14415916 16680196 28831832 33360392 46851727 57663664 61267643 66720784 93703454 122535286 187406908 245070572 374813816 490141144 749627632 796479359 980282288 1592958718 3185917436 6371834872 12743669744