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68131683817668 = 223246132511262783
BaseRepresentation
bin11110111110111001001001…
…10011111101100011000100
322221020022210012002222001200
433133130210303331203010
532412232142024131133
6400523132523422500
720231231432065512
oct1737344463754304
9287208705088050
1068131683817668
111a788537364619
127784463084a30
132c02a37148b93
1412b783bd534b2
157d23dc5d5913
hex3df724cfd8c4

68131683817668 has 72 divisors (see below), whose sum is σ = 172648565945856. Its totient is φ = 22654309080000.

The previous prime is 68131683817667. The next prime is 68131683817693. The reversal of 68131683817668 is 86671838613186.

68131683817668 is a `hidden beast` number, since 6 + 8 + 1 + 316 + 83 + 8 + 176 + 68 = 666.

It is a super-3 number, since 3×681316838176683 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68131683817596 and 68131683817605.

It is not an unprimeable number, because it can be changed into a prime (68131683817667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53322205 + ... + 54584987.

It is an arithmetic number, because the mean of its divisors is an integer number (2397896749248).

Almost surely, 268131683817668 is an apocalyptic number.

It is an amenable number.

68131683817668 is an abundant number, since it is smaller than the sum of its proper divisors (104516882128188).

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

68131683817668 is a wasteful number, since it uses less digits than its factorization.

68131683817668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266505 (or 1266500 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 68131683817668 in words is "sixty-eight trillion, one hundred thirty-one billion, six hundred eighty-three million, eight hundred seventeen thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 461 922 1383 1844 2766 3251 4149 5532 6502 8298 9753 13004 16596 19506 29259 39012 58518 117036 1262783 1498711 2525566 2997422 3788349 4496133 5051132 5994844 7576698 8992266 11365047 13488399 15153396 17984532 22730094 26976798 45460188 53953596 582142963 1164285926 1746428889 2328571852 3492857778 4105307533 5239286667 6985715556 8210615066 10478573334 12315922599 16421230132 20957146668 24631845198 36947767797 49263690396 73895535594 147791071188 1892546772713 3785093545426 5677640318139 7570187090852 11355280636278 17032920954417 22710561272556 34065841908834 68131683817668