Search a number
-
+
205740925956 = 22325715025721
BaseRepresentation
bin1011111110011100011…
…1010110010000000100
3201200001102211221101200
42333213013112100010
511332324134112311
6234303250022500
720602311005316
oct2774707262004
9650042757350
10205740925956
117a288430905
1233a5a277a30
131652a819297
149d5a7317b6
155542484556
hex2fe71d6404

205740925956 has 18 divisors (see below), whose sum is σ = 520067340702. Its totient is φ = 68580308640.

The previous prime is 205740925937. The next prime is 205740925961. The reversal of 205740925956 is 659529047502.

205740925956 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 40 + 9 + 2 + 595 + 6 = 666.

205740925956 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 only one way, i.e., 187896240900 + 17844685056 = 433470^2 + 133584^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×2057409259562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2857512825 + ... + 2857512896.

It is an arithmetic number, because the mean of its divisors is an integer number (28892630039).

Almost surely, 2205740925956 is an apocalyptic number.

It is an amenable number.

205740925956 is an abundant number, since it is smaller than the sum of its proper divisors (314326414746).

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

205740925956 is a wasteful number, since it uses less digits than its factorization.

205740925956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5715025731 (or 5715025726 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 205740925956 in words is "two hundred five billion, seven hundred forty million, nine hundred twenty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 5715025721 11430051442 17145077163 22860102884 34290154326 51435231489 68580308652 102870462978 205740925956