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13375668699536 = 24111331509370493
BaseRepresentation
bin1100001010100100001111…
…1110110100000110010000
31202100200221100102202202212
43002221003332310012100
53223121332141341121
644240410344331252
72550234353016353
oct302510376640620
952320840382685
1013375668699536
114297653306a10
121600364473b28
13760421490740
1434355898c29a
15182de9e4b25b
hexc2a43fb4190

13375668699536 has 160 divisors (see below), whose sum is σ = 31489974512640. Its totient is φ = 5420446156800.

The previous prime is 13375668699517. The next prime is 13375668699541. The reversal of 13375668699536 is 63599686657331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35917106 + ... + 36287598.

It is an arithmetic number, because the mean of its divisors is an integer number (196812340704).

Almost surely, 213375668699536 is an apocalyptic number.

13375668699536 is a gapful number since it is divisible by the number (16) 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 13375668699536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15744987256320).

13375668699536 is an abundant number, since it is smaller than the sum of its proper divisors (18114305813104).

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

13375668699536 is a wasteful number, since it uses less digits than its factorization.

13375668699536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371065 (or 371059 counting only the distinct ones).

The product of its digits is 3968092800, while the sum is 77.

The spelling of 13375668699536 in words is "thirteen trillion, three hundred seventy-five billion, six hundred sixty-eight million, six hundred ninety-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 26 31 44 52 62 88 104 124 143 176 208 248 286 341 403 496 509 572 682 806 1018 1144 1364 1612 2036 2288 2728 3224 4072 4433 5456 5599 6448 6617 8144 8866 11198 13234 15779 17732 22396 26468 31558 35464 44792 52936 63116 70928 72787 89584 105872 126232 145574 173569 205127 252464 291148 347138 370493 410254 582296 694276 740986 820508 1164592 1388552 1481972 1641016 2256397 2777104 2963944 3282032 4075423 4512794 4816409 5927888 8150846 9025588 9632818 11485283 16301692 18051176 19265636 22970566 32603384 36102352 38531272 45941132 52980499 65206768 77062544 91882264 105960998 126338113 149308679 183764528 188580937 211921996 252676226 298617358 377161874 423843992 505352452 597234716 754323748 847687984 1010704904 1194469432 1508647496 1642395469 2021409808 2074390307 2388938864 2451552181 3017294992 3284790938 4148780614 4903104362 5846009047 6569581876 8297561228 9806208724 11692018094 13139163752 16595122456 19612417448 23384036188 26278327504 26967073991 33190244912 39224834896 46768072376 53934147982 64306099517 75998117611 93536144752 107868295964 128612199034 151996235222 215736591928 257224398068 303992470444 431473183856 514448796136 607984940888 835979293721 1028897592272 1215969881776 1671958587442 3343917174884 6687834349768 13375668699536