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83660203305 = 32571913978313
BaseRepresentation
bin100110111101010001…
…0010110010100101001
321222221102102200000100
41031322202112110221
52332314003001210
6102233304300013
76021114665160
oct1157242262451
9258842380010
1083660203305
1132531004a98
1214269771609
137b735335a3
144098d1a3d7
1522999c35c0
hex137a896529

83660203305 has 48 divisors (see below), whose sum is σ = 174449358720. Its totient is φ = 36231784704.

The previous prime is 83660203301. The next prime is 83660203321. The reversal of 83660203305 is 50330206638.

It is a happy number.

It is not a de Polignac number, because 83660203305 - 22 = 83660203301 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 83660203305.

It is not an unprimeable number, because it can be changed into a prime (83660203301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6983172 + ... + 6995141.

It is an arithmetic number, because the mean of its divisors is an integer number (3634361640).

Almost surely, 283660203305 is an apocalyptic number.

It is an amenable number.

83660203305 is an abundant number, since it is smaller than the sum of its proper divisors (90789155415).

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

83660203305 is a wasteful number, since it uses less digits than its factorization.

83660203305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13978350 (or 13978347 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 83660203305 in words is "eighty-three billion, six hundred sixty million, two hundred three thousand, three hundred five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 13978313 41934939 69891565 97848191 125804817 209674695 265587947 293544573 489240955 629024085 796763841 880633719 1327939735 1467722865 1859115629 2390291523 3983819205 4403168595 5577346887 9295578145 11951457615 16732040661 27886734435 83660203305