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68860688606886 = 231131373132906161
BaseRepresentation
bin11111010100000111000001…
…11000100010011010100110
3100000211000110210020022122010
433222003200320202122212
533011203142240410021
6402242055202215050
720335010025414651
oct1752034070423246
9300730423208563
1068860688606886
111aa397215846a0
1278817b5354486
132c566c5729897
141300c37440898
157e6357c2e976
hex3ea0e0e226a6

68860688606886 has 128 divisors (see below), whose sum is σ = 159788505526272. Its totient is φ = 19585193472000.

The previous prime is 68860688606863. The next prime is 68860688606891.

68860688606886 is nontrivially palindromic in base 10.

68860688606886 is a modest number, since divided by 688606886 gives 6886 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 68860688606799 and 68860688606808.

It is a congruent 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, 22241646 + ... + 25147806.

It is an arithmetic number, because the mean of its divisors is an integer number (1248347699424).

Almost surely, 268860688606886 is an apocalyptic number.

68860688606886 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68860688606886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79894252763136).

68860688606886 is an abundant number, since it is smaller than the sum of its proper divisors (90927816919386).

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

68860688606886 is a wasteful number, since it uses less digits than its factorization.

68860688606886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906558.

The product of its (nonzero) digits is 12230590464, while the sum is 84.

The spelling of 68860688606886 in words is "sixty-eight trillion, eight hundred sixty billion, six hundred eighty-eight million, six hundred six thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 11 22 31 33 37 62 66 74 93 111 186 222 313 341 407 626 682 814 939 1023 1147 1221 1878 2046 2294 2442 3441 3443 6882 6886 9703 10329 11581 12617 19406 20658 23162 25234 29109 34743 37851 58218 69486 75702 106733 127391 213466 254782 320199 359011 382173 640398 718022 764346 1077033 2154066 2906161 3949121 5812322 7898242 8718483 11847363 17436966 23694726 31967771 63935542 90090991 95903313 107527957 180181982 191806626 215055914 270272973 322583871 540545946 645167742 909628393 991000901 1182807527 1819256786 1982001802 2365615054 2728885179 2973002703 3333366667 3548422581 5457770358 5946005406 6666733334 7096845162 10000100001 10005912323 20000200002 20011824646 28198480183 30017736969 33656250541 36667033337 56396960366 60035473938 67312501082 73334066674 84595440549 100968751623 110001100011 169190881098 201937503246 220002200022 310183282013 370218755951 620366564026 740437511902 930549846039 1043343766771 1110656267853 1861099692078 2086687533542 2221312535706 3130031300313 6260062600626 11476781434481 22953562868962 34430344303443 68860688606886