Search a number
-
+
17170314066 = 2341134492089
BaseRepresentation
bin11111111110110111…
…00011001101010010
31122022121222022220000
433333123203031102
5240131100022231
611515443230430
71145332155453
oct177733431522
948277868800
1017170314066
117311216104
1233b2378416
131808385669
14b8c57512a
156a761a6e6
hex3ff6e3352

17170314066 has 80 divisors (see below), whose sum is σ = 38919771000. Its totient is φ = 5657444352.

The previous prime is 17170314061. The next prime is 17170314103. The reversal of 17170314066 is 66041307171.

It can be written as a sum of positive squares in 4 ways, for example, as 13974786225 + 3195527841 = 118215^2 + 56529^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 17170314066.

It is not an unprimeable number, because it can be changed into a prime (17170314061) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8218350 + ... + 8220438.

Almost surely, 217170314066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17170314066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19459885500).

17170314066 is an abundant number, since it is smaller than the sum of its proper divisors (21749456934).

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

17170314066 is a wasteful number, since it uses less digits than its factorization.

17170314066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 17170314066 in words is "seventeen billion, one hundred seventy million, three hundred fourteen thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 339 449 678 898 1017 1347 2034 2089 2694 3051 4041 4178 6102 6267 8082 9153 12123 12534 18306 18801 24246 36369 37602 50737 56403 72738 101474 112806 152211 169209 236057 304422 338418 456633 472114 708171 913266 937961 1369899 1416342 1875922 2124513 2739798 2813883 4109697 4249026 5627766 6373539 8219394 8441649 12747078 16883298 19120617 25324947 38241234 50649894 75974841 105989593 151949682 211979186 317968779 635937558 953906337 1907812674 2861719011 5723438022 8585157033 17170314066