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68300322508698 = 237312691511129061
BaseRepresentation
bin11111000011110011010000…
…11101100000111110011010
322221211110001220120002100020
433201321220131200332122
532423013030030234243
6401132422432051310
720246351443235040
oct1741715035407632
9287743056502306
1068300322508698
111a84300551a155
1277b1087993b36
132c159010502a7
1412c1a78caa390
157d69ac680283
hex3e1e68760f9a

68300322508698 has 128 divisors (see below), whose sum is σ = 161858368143360. Its totient is φ = 18802080288000.

The previous prime is 68300322508673. The next prime is 68300322508699. The reversal of 68300322508698 is 89680522300386.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (68300322508699) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 529145088 + ... + 529274148.

It is an arithmetic number, because the mean of its divisors is an integer number (1264518501120).

Almost surely, 268300322508698 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68300322508698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80929184071680).

68300322508698 is an abundant number, since it is smaller than the sum of its proper divisors (93558045634662).

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

68300322508698 is a wasteful number, since it uses less digits than its factorization.

68300322508698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130884.

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 68300322508698 in words is "sixty-eight trillion, three hundred billion, three hundred twenty-two million, five hundred eight thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 269 434 538 651 807 1302 1511 1614 1883 3022 3766 4533 5649 8339 9066 10577 11298 16678 21154 25017 31731 46841 50034 58373 63462 93682 116746 129061 140523 175119 258122 281046 327887 350238 387183 406459 655774 774366 812918 903427 983661 1219377 1806854 1967322 2438754 2710281 2845213 4000891 5420562 5690426 8001782 8535639 12002673 12600229 17071278 24005346 25200458 28006237 34717409 37800687 56012474 69434818 75601374 84018711 88201603 104152227 168037422 176403206 195011171 208304454 243021863 264604809 390022342 486043726 529209618 585033513 729065589 1076239679 1170067026 1365078197 1458131178 2152479358 2730156394 3228719037 4095234591 6045346301 6457438074 7533677753 8190469182 12090692602 15067355506 18136038903 22601033259 36272077806 42317424107 45202066518 52458004999 84634848214 104916009998 126952272321 157374014997 253904544642 314748029994 367206034993 734412069986 1101618104979 1626198154969 2203236209958 3252396309938 4878594464907 9757188929814 11383387084783 22766774169566 34150161254349 68300322508698