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13666093730304 = 29385919935197
BaseRepresentation
bin1100011011011110001010…
…1010011000101000000000
31210101110120120100221222220
43012313202222120220000
53242401124443332204
645022041120531040
72610225354032601
oct306674252305000
953343516327886
1013666093730304
1143998377000a4
1216486b7180a80
13781926698682
1435362a1a9da8
1518a746c071d9
hexc6de2a98a00

13666093730304 has 160 divisors (see below), whose sum is σ = 36475017205440. Its totient is φ = 4546903375872.

The previous prime is 13666093730293. The next prime is 13666093730327. The reversal of 13666093730304 is 40303739066631.

It is a happy 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, 2629609434 + ... + 2629614630.

It is an arithmetic number, because the mean of its divisors is an integer number (227968857534).

Almost surely, 213666093730304 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 13666093730304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18237508602720).

13666093730304 is an abundant number, since it is smaller than the sum of its proper divisors (22808923475136).

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

13666093730304 is an equidigital number, since it uses as much as digits as its factorization.

13666093730304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8070 (or 8054 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 51.

The spelling of 13666093730304 in words is "thirteen trillion, six hundred sixty-six billion, ninety-three million, seven hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 859 1536 1718 1993 2577 3436 3986 5154 5197 5979 6872 7972 10308 10394 11958 13744 15591 15944 20616 20788 23916 27488 31182 31888 41232 41576 47832 54976 62364 63776 82464 83152 95664 109952 124728 127552 164928 166304 191328 219904 249456 255104 329856 332608 382656 439808 498912 510208 659712 665216 765312 997824 1020416 1319424 1330432 1530624 1711987 1995648 2660864 3061248 3423974 3991296 4464223 5135961 6847948 7982592 8928446 10271922 10357621 13392669 13695896 17856892 20543844 20715242 26785338 27391792 31072863 35713784 41087688 41430484 53570676 54783584 62145726 71427568 82175376 82860968 107141352 109567168 124291452 142855136 164350752 165721936 214282704 219134336 248582904 285710272 328701504 331443872 428565408 438268672 497165808 571420544 657403008 662887744 857130816 876537344 994331616 1142841088 1314806016 1325775488 1714261632 1988663232 2285682176 2629612032 2651550976 3428523264 3977326464 5303101952 6857046528 7954652928 8897196439 15909305856 17794392878 26691589317 35588785756 53383178634 71177571512 106766357268 142355143024 213532714536 284710286048 427065429072 569420572096 854130858144 1138841144192 1708261716288 2277682288384 3416523432576 4555364576768 6833046865152 13666093730304