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13774729312392 = 2333753626946687
BaseRepresentation
bin1100100001110010110111…
…0110001111100010001000
31210202211222120101022212020
43020130231312033202020
53301141121200444032
645144005010244440
72621122430165346
oct310345566174210
953684876338766
1013774729312392
1144309146548a4
121665774b86720
1378bc4a2c47a9
143589b40a0996
1518d4a4137b2c
hexc872dd8f888

13774729312392 has 128 divisors (see below), whose sum is σ = 36041380531200. Its totient is φ = 4382394651648.

The previous prime is 13774729312391. The next prime is 13774729312417. The reversal of 13774729312392 is 29321392747731.

It is a super-2 number, since 2×137747293123922 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13774729312391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295020873 + ... + 295067559.

It is an arithmetic number, because the mean of its divisors is an integer number (281573285400).

Almost surely, 213774729312392 is an apocalyptic number.

13774729312392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13774729312392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18020690265600).

13774729312392 is an abundant number, since it is smaller than the sum of its proper divisors (22266651218808).

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

13774729312392 is a wasteful number, since it uses less digits than its factorization.

13774729312392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53055 (or 53051 counting only the distinct ones).

The product of its digits is 24004512, while the sum is 60.

The spelling of 13774729312392 in words is "thirteen trillion, seven hundred seventy-four billion, seven hundred twenty-nine million, three hundred twelve thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 37 53 74 106 111 148 159 212 222 296 318 424 444 636 888 1272 1961 3922 5883 6269 7844 11766 12538 15688 18807 23532 25076 37614 46687 47064 50152 75228 93374 140061 150456 186748 231953 280122 332257 373496 463906 560244 664514 695859 927812 996771 1120488 1329028 1391718 1727419 1855624 1993542 2474411 2658056 2783436 3454838 3987084 4948822 5182257 5566872 6909676 7423233 7974168 9897644 10364514 12293509 13819352 14846466 19795288 20729028 24587018 29692932 36880527 41458056 49174036 59385864 73761054 91553207 98348072 147522108 183106414 274659621 292680803 295044216 366212828 549319242 585361606 732425656 878042409 1098638484 1170723212 1756084818 2197276968 2341446424 3512169636 7024339272 10829189711 15512082559 21658379422 31024165118 32487569133 43316758844 46536247677 62048330236 64975138266 86633517688 93072495354 124096660472 129950276532 186144990708 259900553064 372289981416 573947054683 1147894109366 1721841164049 2295788218732 3443682328098 4591576437464 6887364656196 13774729312392