Search a number
-
+
242013606773517 = 32261077102997969
BaseRepresentation
bin110111000001110000101111…
…000100000000001100001101
31011201220021102100221122002200
4313001300233010000030031
5223210122331313223032
62214415303251112113
7101655622533504135
oct6701605704001415
91151807370848080
10242013606773517
1170127437818577
1223187a372a2639
13a506a290ba387
1443a9741b45ac5
151cea4e15e547c
hexdc1c2f10030d

242013606773517 has 12 divisors (see below), whose sum is σ = 349576552151580. Its totient is φ = 161341784961408.

The previous prime is 242013606773459. The next prime is 242013606773641. The reversal of 242013606773517 is 715377606310242.

242013606773517 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 1 + 3 + 60 + 67 + 7 + 3 + 517 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 175615000424361 + 66398606349156 = 13251981^2 + 8148534^2 .

It is not a de Polignac number, because 242013606773517 - 28 = 242013606773261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242013646773517) 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 11 ways as a sum of consecutive naturals, for example, 49149292 + ... + 53848677.

It is an arithmetic number, because the mean of its divisors is an integer number (29131379345965).

Almost surely, 2242013606773517 is an apocalyptic number.

It is an amenable number.

242013606773517 is a deficient number, since it is larger than the sum of its proper divisors (107562945378063).

242013606773517 is a wasteful number, since it uses less digits than its factorization.

242013606773517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103259052 (or 103259049 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 242013606773517 in words is "two hundred forty-two trillion, thirteen billion, six hundred six million, seven hundred seventy-three thousand, five hundred seventeen".

Divisors: 1 3 9 261077 783231 2349693 102997969 308993907 926981721 26890400752613 80671202257839 242013606773517