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13774729312422 = 23213216330019257
BaseRepresentation
bin1100100001110010110111…
…0110001111100010100110
31210202211222120101022220100
43020130231312033202212
53301141121200444142
645144005010244530
72621122430165421
oct310345566174246
953684876338810
1013774729312422
114430914654921
121665774b86746
1378bc4a2c4800
143589b40a09b8
1518d4a4137b4c
hexc872dd8f8a6

13774729312422 has 144 divisors (see below), whose sum is σ = 32530250617488. Its totient is φ = 4210517376000.

The previous prime is 13774729312417. The next prime is 13774729312423. The reversal of 13774729312422 is 22421392747731.

13774729312422 is a `hidden beast` number, since 1 + 3 + 77 + 47 + 293 + 1 + 242 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13774729312423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1488029218 + ... + 1488038474.

It is an arithmetic number, because the mean of its divisors is an integer number (225904518177).

Almost surely, 213774729312422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13774729312422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16265125308744).

13774729312422 is an abundant number, since it is smaller than the sum of its proper divisors (18755521305066).

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

13774729312422 is a wasteful number, since it uses less digits than its factorization.

13774729312422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12455 (or 12439 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The spelling of 13774729312422 in words is "thirteen trillion, seven hundred seventy-four billion, seven hundred twenty-nine million, three hundred twelve thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 163 169 234 326 338 489 507 978 1014 1467 1521 2119 2934 3001 3042 4238 6002 6357 9003 9257 12714 18006 18514 19071 27009 27547 27771 38142 39013 54018 55094 55542 78026 82641 83313 117039 120341 165282 166626 234078 240682 247923 351117 361023 489163 495846 507169 702234 722046 978326 1014338 1083069 1467489 1508891 1521507 1564433 2166138 2934978 3017782 3043014 3128866 4402467 4526673 4564521 4693299 6359119 8804934 9053346 9129042 9386598 12718238 13580019 14079897 19077357 19615583 27160038 27780257 28159794 38154714 39231166 55560514 57232071 58846749 82668547 83340771 114464142 117693498 165337094 166681542 176540247 248005641 250022313 255002579 353080494 361143341 496011282 500044626 510005158 722286682 744016923 765007737 1083430023 1488033846 1530015474 2166860046 2295023211 3250290069 4528181891 4590046422 4694863433 6500580138 9056363782 9389726866 13584545673 14084590299 27169091346 28169180598 40753637019 42253770897 58866364583 81507274038 84507541794 117732729166 176599093749 353198187498 529797281247 765262739579 1059594562494 1530525479158 2295788218737 4591576437474 6887364656211 13774729312422