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68066460912896 = 282954733614987
BaseRepresentation
bin11110111100111111101010…
…01110010100110100000000
322221000002102200201002212222
433132133311032110310000
532410200102443203041
6400433144522310212
720223432232411265
oct1736376516246400
9287002380632788
1068066460912896
111a762907772936
1277738a0058368
132bc98416164c4
1412b461197726c
157d087159a74b
hex3de7f5394d00

68066460912896 has 144 divisors (see below), whose sum is σ = 140879196911040. Its totient is φ = 32783264317440.

The previous prime is 68066460912869. The next prime is 68066460913063. The reversal of 68066460912896 is 69821906466086.

It is a congruent 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, 13648776515 + ... + 13648781501.

Almost surely, 268066460912896 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 68066460912896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70439598455520).

68066460912896 is an abundant number, since it is smaller than the sum of its proper divisors (72812735998144).

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

68066460912896 is a wasteful number, since it uses less digits than its factorization.

68066460912896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8940 (or 8926 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 71.

The spelling of 68066460912896 in words is "sixty-eight trillion, sixty-six billion, four hundred sixty million, nine hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 547 928 1094 1856 2188 3361 3712 4376 4987 6722 7424 8752 9974 13444 15863 17504 19948 26888 31726 35008 39896 53776 63452 70016 79792 97469 107552 126904 140032 144623 159584 194938 215104 253808 289246 319168 389876 430208 507616 578492 638336 779752 860416 1015232 1156984 1276672 1559504 1838467 2030464 2313968 2727889 3119008 3676934 4060928 4627936 5455778 6238016 7353868 9255872 10911556 12476032 14707736 16761307 18511744 21823112 24952064 29415472 33522614 37023488 43646224 53315543 58830944 67045228 79108781 87292448 106631086 117661888 134090456 158217562 174584896 213262172 235323776 268180912 316435124 349169792 426524344 470647552 486077903 536361824 632870248 698339584 853048688 972155806 1072723648 1265740496 1706097376 1944311612 2145447296 2531480992 3412194752 3888623224 4290894592 5062961984 6824389504 7777246448 9168434929 10125923968 13648779008 15554492896 18336869858 20251847936 31108985792 36673739716 62217971584 73347479432 124435943168 146694958864 265884612941 293389917728 531769225882 586779835456 1063538451764 1173559670912 2127076903528 2347119341824 4254153807056 8508307614112 17016615228224 34033230456448 68066460912896