Search a number
-
+
204642265135 = 57114326945953
BaseRepresentation
bin1011111010010110100…
…0010010100000101111
3201120012212112012002011
42332211220102200233
511323101404441020
6234002241542051
720533140360460
oct2764550224057
9646185465064
10204642265135
1179874250760
12337b2344927
13163b4017019
149c94860d67
1554cacb535a
hex2fa5a1282f

204642265135 has 64 divisors (see below), whose sum is σ = 314457707520. Its totient is φ = 124136570880.

The previous prime is 204642265133. The next prime is 204642265153. The reversal of 204642265135 is 531562246402.

It is a happy number.

204642265135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 204642265135 - 21 = 204642265133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204642265133) 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 63 ways as a sum of consecutive naturals, for example, 4430319 + ... + 4476271.

It is an arithmetic number, because the mean of its divisors is an integer number (4913401680).

Almost surely, 2204642265135 is an apocalyptic number.

204642265135 is a deficient number, since it is larger than the sum of its proper divisors (109815442385).

204642265135 is a wasteful number, since it uses less digits than its factorization.

204642265135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46288.

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 204642265135 in words is "two hundred four billion, six hundred forty-two million, two hundred sixty-five thousand, one hundred thirty-five".

Divisors: 1 5 7 11 35 43 55 77 215 269 301 385 473 1345 1505 1883 2365 2959 3311 9415 11567 14795 16555 20713 45953 57835 80969 103565 127237 229765 321671 404845 505483 636185 890659 1608355 1975979 2527415 3538381 4453295 9879895 12361357 13831853 17691905 21735769 61806785 69159265 86529499 108678845 135974927 152150383 432647495 531538351 679874635 760751915 951824489 2657691755 3720768457 4759122445 5846921861 18603842285 29234609305 40928453027 204642265135