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209934353268 = 223217343029989
BaseRepresentation
bin1100001110000100010…
…0000000001101110100
3202001212200112010020100
43003201010000031310
511414421143301033
6240235325434100
721111240363033
oct3034104001564
9661780463210
10209934353268
118103a518912
123482a70b930
1316a48533413
14a23763671a
1556da6b6513
hex30e1100374

209934353268 has 36 divisors (see below), whose sum is σ = 561883123620. Its totient is φ = 65861757696.

The previous prime is 209934353257. The next prime is 209934353297. The reversal of 209934353268 is 862353439902.

It is a happy number.

209934353268 is a `hidden beast` number, since 2 + 0 + 9 + 9 + 3 + 43 + 532 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98553300624 + 111381052644 = 313932^2 + 333738^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171514383 + ... + 171515606.

It is an arithmetic number, because the mean of its divisors is an integer number (15607864545).

Almost surely, 2209934353268 is an apocalyptic number.

It is an amenable number.

209934353268 is an abundant number, since it is smaller than the sum of its proper divisors (351948770352).

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

209934353268 is a wasteful number, since it uses less digits than its factorization.

209934353268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343030016 (or 343030011 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 209934353268 in words is "two hundred nine billion, nine hundred thirty-four million, three hundred fifty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 343029989 686059978 1029089967 1372119956 2058179934 3087269901 4116359868 5831509813 6174539802 11663019626 12349079604 17494529439 23326039252 34989058878 52483588317 69978117756 104967176634 209934353268