Search a number
-
+
66515338116 = 223217108685193
BaseRepresentation
bin111101111100100111…
…111000001110000100
320100200120100021102100
4331330213320032010
52042210411304431
650320130312100
74543212021363
oct757447701604
9210616307370
1066515338116
11262331a1017
1210a83a28630
13637051b546
14330dccb7da
151ae47334e6
hexf7c9f8384

66515338116 has 36 divisors (see below), whose sum is σ = 178026347772. Its totient is φ = 20867556864.

The previous prime is 66515338093. The next prime is 66515338151. The reversal of 66515338116 is 61183351566.

66515338116 is a `hidden beast` number, since 66 + 51 + 533 + 8 + 1 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51984000000 + 14531338116 = 228000^2 + 120546^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54341985 + ... + 54343208.

It is an arithmetic number, because the mean of its divisors is an integer number (4945176327).

Almost surely, 266515338116 is an apocalyptic number.

It is an amenable number.

66515338116 is an abundant number, since it is smaller than the sum of its proper divisors (111511009656).

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

66515338116 is a wasteful number, since it uses less digits than its factorization.

66515338116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108685220 (or 108685215 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 66515338116 in words is "sixty-six billion, five hundred fifteen million, three hundred thirty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 108685193 217370386 326055579 434740772 652111158 978166737 1304222316 1847648281 1956333474 3695296562 3912666948 5542944843 7390593124 11085889686 16628834529 22171779372 33257669058 66515338116