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13444808166174 = 2372114157330911
BaseRepresentation
bin1100001110100101110100…
…0000111100101100011110
31202121022101210112120210110
43003221131000330230132
53230234431342304144
644332243135150450
72555232610544400
oct303513500745436
952538353476713
1013444808166174
114313a02782590
12161183b075426
13766abc54c548
14346a3719cb70
15184ae4c290b9
hexc3a5d03cb1e

13444808166174 has 48 divisors (see below), whose sum is σ = 34123372125696. Its totient is φ = 3492157964400.

The previous prime is 13444808166137. The next prime is 13444808166203. The reversal of 13444808166174 is 47166180844431.

13444808166174 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 23 ways as a sum of consecutive naturals, for example, 2078662222 + ... + 2078668689.

It is an arithmetic number, because the mean of its divisors is an integer number (710903585952).

Almost surely, 213444808166174 is an apocalyptic number.

13444808166174 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13444808166174 is an abundant number, since it is smaller than the sum of its proper divisors (20678563959522).

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

13444808166174 is a wasteful number, since it uses less digits than its factorization.

13444808166174 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157330941 (or 4157330934 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 13444808166174 in words is "thirteen trillion, four hundred forty-four billion, eight hundred eight million, one hundred sixty-six thousand, one hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 3234 4157330911 8314661822 12471992733 24943985466 29101316377 45730640021 58202632754 87303949131 91461280042 137191920063 174607898262 203709214639 274383840126 320114480147 407418429278 611127643917 640228960294 960343440441 1222255287834 1920686880882 2240801361029 4481602722058 6722404083087 13444808166174