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67705112314 = 274611811277
BaseRepresentation
bin111111000011100010…
…100000011011111010
320110202111010001210101
4333003202200123322
52102130002043224
651034151310014
74614536650000
oct770342403372
9213674101711
1067705112314
1126793852a84
121115637b30a
1364ccb72448
1433c3d18a70
151b63dee044
hexfc38a06fa

67705112314 has 80 divisors (see below), whose sum is σ = 121179259656. Its totient is φ = 28360886400.

The previous prime is 67705112309. The next prime is 67705112317. The reversal of 67705112314 is 41321150776.

It can be written as a sum of positive squares in 4 ways, for example, as 22584980089 + 45120132225 = 150283^2 + 212415^2 .

It is not an unprimeable number, because it can be changed into a prime (67705112317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53018244 + ... + 53019520.

Almost surely, 267705112314 is an apocalyptic number.

67705112314 is a deficient number, since it is larger than the sum of its proper divisors (53474147342).

67705112314 is a wasteful number, since it uses less digits than its factorization.

67705112314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 67705112314 in words is "sixty-seven billion, seven hundred five million, one hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 7 14 49 61 98 122 181 343 362 427 686 854 1267 1277 2401 2534 2554 2989 4802 5978 8869 8939 11041 17738 17878 20923 22082 41846 62083 62573 77287 77897 124166 125146 146461 154574 155794 231137 292922 434581 438011 462274 541009 545279 869162 876022 1082018 1090558 1617959 3066077 3235918 3787063 3816953 6132154 7574126 7633906 11325713 14099357 22651426 26509441 26718671 28198714 53018882 53437342 79279991 98695499 158559982 187030697 197390998 374061394 554959937 690868493 1109919874 1381736986 4836079451 9672158902 33852556157 67705112314