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13668892314 = 2373113716319
BaseRepresentation
bin11001011101011101…
…01011111010011010
31022021121102200012220
430232232223322122
5210443214023224
610140203444510
7662504445000
oct145656537232
938247380186
1013668892314
115884808120
122795826736
13139ab3bb7c
14939526a70
1555002c279
hex32ebabe9a

13668892314 has 128 divisors (see below), whose sum is σ = 35721216000. Its totient is φ = 3454194240.

The previous prime is 13668892291. The next prime is 13668892327. The reversal of 13668892314 is 41329886631.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 829447 + ... + 845765.

It is an arithmetic number, because the mean of its divisors is an integer number (279072000).

Almost surely, 213668892314 is an apocalyptic number.

13668892314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13668892314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17860608000).

13668892314 is an abundant number, since it is smaller than the sum of its proper divisors (22052323686).

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

13668892314 is a wasteful number, since it uses less digits than its factorization.

13668892314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16393 (or 16379 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The spelling of 13668892314 in words is "thirteen billion, six hundred sixty-eight million, eight hundred ninety-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 49 66 74 77 98 111 147 154 222 231 259 294 343 407 462 518 539 686 777 814 1029 1078 1221 1554 1617 1813 2058 2442 2849 3234 3626 3773 5439 5698 7546 8547 10878 11319 12691 16319 17094 19943 22638 25382 32638 38073 39886 48957 59829 76146 97914 114233 119658 139601 179509 228466 279202 342699 359018 418803 538527 603803 685398 799631 837606 1077054 1207606 1256563 1599262 1811409 2398893 2513126 3622818 3769689 4226621 4797786 5597417 6641833 7539378 8453242 8795941 11194834 12679863 13283666 16792251 17591882 19925499 25359726 26387823 29586347 33584502 39850998 46492831 52775646 59172694 61571587 88759041 92985662 123143174 139478493 177518082 184714761 207104429 278956986 325449817 369429522 414208858 621313287 650899634 976349451 1242626574 1952698902 2278148719 4556297438 6834446157 13668892314