Search a number
-
+
209500134304 = 25173710408393
BaseRepresentation
bin1100001100011100101…
…1100101101110100000
3202000202102110111210111
43003013023211232200
511413024013244204
6240124254541104
721064415521366
oct3030713455640
9660672414714
10209500134304
118093740076a
1234729207794
13169a95a0716
14a1d5ac5636
1556b24e3d04
hex30c72e5ba0

209500134304 has 48 divisors (see below), whose sum is σ = 448518514248. Its totient is φ = 95923740672.

The previous prime is 209500134301. The next prime is 209500134313. The reversal of 209500134304 is 403431005902.

It can be written as a sum of positive squares in 4 ways, for example, as 207801045904 + 1699088400 = 455852^2 + 41220^2 .

It is not an unprimeable number, because it can be changed into a prime (209500134301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5184069 + ... + 5224324.

Almost surely, 2209500134304 is an apocalyptic number.

It is an amenable number.

209500134304 is an abundant number, since it is smaller than the sum of its proper divisors (239018379944).

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

209500134304 is a wasteful number, since it uses less digits than its factorization.

209500134304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10408457 (or 10408449 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 209500134304 in words is "two hundred nine billion, five hundred million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 296 544 592 629 1184 1258 2516 5032 10064 20128 10408393 20816786 41633572 83267144 166534288 176942681 333068576 353885362 385110541 707770724 770221082 1415541448 1540442164 2831082896 3080884328 5662165792 6161768656 6546879197 12323537312 13093758394 26187516788 52375033576 104750067152 209500134304