Search a number
-
+
205052713134006 = 233731113272238109
BaseRepresentation
bin101110100111111010001110…
…001000000110011110110110
3222220000211220010210211210010
4232213322032020012132312
5203334040424030242011
62004035525503241050
761122366246320253
oct5647721610063666
9886024803724703
10205052713134006
115a37740493a671
121abb870a8a9186
138a555072277aa
14388c86618c42a
1518a8d594321a6
hexba7e8e2067b6

205052713134006 has 64 divisors (see below), whose sum is σ = 422862272501760. Its totient is φ = 66239760562560.

The previous prime is 205052713133987. The next prime is 205052713134089. The reversal of 205052713134006 is 600431317250502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90499680 + ... + 92737788.

It is an arithmetic number, because the mean of its divisors is an integer number (6607223007840).

Almost surely, 2205052713134006 is an apocalyptic number.

205052713134006 is an abundant number, since it is smaller than the sum of its proper divisors (217809559367754).

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

205052713134006 is a wasteful number, since it uses less digits than its factorization.

205052713134006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239789.

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 205052713134006 in words is "two hundred five trillion, fifty-two billion, seven hundred thirteen million, one hundred thirty-four thousand, six".

Divisors: 1 2 3 6 37 74 111 222 311 622 933 1327 1866 2654 3981 7962 11507 23014 34521 49099 69042 98198 147297 294594 412697 825394 1238091 2238109 2476182 4476218 6714327 13428654 15269789 30539578 45809367 82810033 91618734 165620066 248430099 496860198 696051899 1392103798 2088155697 2969970643 4176311394 5939941286 8909911929 17819823858 25753920263 51507840526 77261760789 109888913791 154523521578 219777827582 329666741373 659333482746 923660869973 1847321739946 2770982609919 5541965219838 34175452189001 68350904378002 102526356567003 205052713134006