Search a number
-
+
206353775264 = 2572132778717
BaseRepresentation
bin1100000000101110100…
…1001011101010100000
3201201122011000220121012
43000023221023222200
511340103031302024
6234444141320052
720623432102100
oct3001351135240
9651564026535
10206353775264
117a57236563a
1233bab566028
13165c7793600
149db7ca1200
15557b18e50e
hex300ba4baa0

206353775264 has 108 divisors (see below), whose sum is σ = 511736869854. Its totient is φ = 81634355712.

The previous prime is 206353775263. The next prime is 206353775311. The reversal of 206353775264 is 462577353602.

It is a happy number.

206353775264 is digitally balanced in base 3, 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 3 ways, for example, as 124962250000 + 81391525264 = 353500^2 + 285292^2 .

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (206353775261) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 124367 + ... + 654350.

Almost surely, 2206353775264 is an apocalyptic number.

It is an amenable number.

206353775264 is an abundant number, since it is smaller than the sum of its proper divisors (305383094590).

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

206353775264 is a wasteful number, since it uses less digits than its factorization.

206353775264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778767 (or 778739 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 50.

The spelling of 206353775264 in words is "two hundred six billion, three hundred fifty-three million, seven hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 169 182 196 208 224 338 364 392 416 637 676 728 784 1183 1274 1352 1456 1568 2366 2548 2704 2912 4732 5096 5408 8281 9464 10192 16562 18928 20384 33124 37856 66248 132496 264992 778717 1557434 3114868 5451019 6229736 10123321 10902038 12459472 20246642 21804076 24918944 38157133 40493284 43608152 70863247 76314266 80986568 87216304 131603173 141726494 152628532 161973136 174432608 263206346 283452988 305257064 323946272 496042729 526412692 566905976 610514128 921222211 992085458 1052825384 1133811952 1221028256 1842444422 1984170916 2105650768 2267623904 3684888844 3968341832 4211301536 6448555477 7369777688 7936683664 12897110954 14739555376 15873367328 25794221908 29479110752 51588443816 103176887632 206353775264