Search a number
-
+
11661066605106 = 23217197193441933
BaseRepresentation
bin1010100110110000110110…
…1110111001001000110010
31112021210020210002200200200
42221230031232321020302
53012023331022330411
640445004155100030
72312325046464042
oct251541556711062
945253223080620
1011661066605106
113796481105796
121383bab741616
13667831799109
142c4581bd7722
151534e7715e56
hexa9b0dbb9232

11661066605106 has 48 divisors (see below), whose sum is σ = 26887655058264. Its totient is φ = 3639803392512.

The previous prime is 11661066605051. The next prime is 11661066605113. The reversal of 11661066605106 is 60150666016611.

11661066605106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10206970677225 + 1454095927881 = 3194835^2 + 1205859^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96660685 + ... + 96781248.

Almost surely, 211661066605106 is an apocalyptic number.

11661066605106 is an abundant number, since it is smaller than the sum of its proper divisors (15226588453158).

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

11661066605106 is a wasteful number, since it uses less digits than its factorization.

11661066605106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193442155 (or 193442152 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11661066605106 in words is "eleven trillion, six hundred sixty-one billion, sixty-six million, six hundred five thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 197 306 394 591 1182 1773 3349 3546 6698 10047 20094 30141 60282 193441933 386883866 580325799 1160651598 1740977397 3288512861 3481954794 6577025722 9865538583 19731077166 29596615749 38108060801 59193231498 76216121602 114324182403 228648364806 342972547209 647837033617 685945094418 1295674067234 1943511100851 3887022201702 5830533302553 11661066605106