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68681340006660 = 2234542395888893
BaseRepresentation
bin11111001110111000111101…
…10111111011000100000100
3100000011212112200012102220000
433213130132313323010010
533000233341020203120
6402023434431241300
720316030426441363
oct1747343667730404
9300155480172800
1068681340006660
111a97a657a07837
127852aa1979230
132c42812a394b4
1412d62a1d6b7da
157e185c7e8990
hex3e771edfb104

68681340006660 has 60 divisors (see below), whose sum is σ = 215455907359308. Its totient is φ = 18315024001344.

The previous prime is 68681340006647. The next prime is 68681340006679. The reversal of 68681340006660 is 6660004318686.

It can be written as a sum of positive squares in 2 ways, for example, as 38590037319744 + 30091302686916 = 6212088^2 + 5485554^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×686813400066602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 68681340006597 and 68681340006606.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21197942827 + ... + 21197946066.

Almost surely, 268681340006660 is an apocalyptic number.

68681340006660 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68681340006660 is an abundant number, since it is smaller than the sum of its proper divisors (146774567352648).

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

68681340006660 is a wasteful number, since it uses less digits than its factorization.

68681340006660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42395888914 (or 42395888903 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 68681340006660 in words is "sixty-eight trillion, six hundred eighty-one billion, three hundred forty million, six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 42395888893 84791777786 127187666679 169583555572 211979444465 254375333358 381563000037 423958888930 508750666716 635938333395 763126000074 847917777860 1144689000111 1271876666790 1526252000148 1907815000185 2289378000222 2543753333580 3434067000333 3815630000370 4578756000444 5723445000555 6868134000666 7631260000740 11446890001110 13736268001332 17170335001665 22893780002220 34340670003330 68681340006660