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206756043612196 = 22132372149472
BaseRepresentation
bin101111000000101100100100…
…100010001110000000100100
31000010001200111011121111012011
4233000230210202032000210
5204044442334131042241
62011422225403004004
761356426334434631
oct5700544442160044
91003050434544164
10206756043612196
115a973822555771
121b232858809604
138b4a01b954100
14390b08dd6b188
1518d82ec324281
hexbc0b2488e024

206756043612196 has 81 divisors (see below), whose sum is σ = 402698816100819. Its totient is φ = 92840577081408.

The previous prime is 206756043612193. The next prime is 206756043612197. The reversal of 206756043612196 is 691216340657602.

The square root of 206756043612196 is 14379014.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 858798837796 + 205897244774400 = 926714^2 + 14349120^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 206756043612196.

It is not an unprimeable number, because it can be changed into a prime (206756043612193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13832603995 + ... + 13832618941.

Almost surely, 2206756043612196 is an apocalyptic number.

206756043612196 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

206756043612196 is the 14379014-th square number.

It is an amenable number.

206756043612196 is a deficient number, since it is larger than the sum of its proper divisors (195942772488623).

206756043612196 is an frugal number, since it uses more digits than its factorization.

206756043612196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29998 (or 14999 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 58.

The spelling of 206756043612196 in words is "two hundred six trillion, seven hundred fifty-six billion, forty-three million, six hundred twelve thousand, one hundred ninety-six".

Divisors: 1 2 4 13 26 37 52 74 148 169 338 481 676 962 1369 1924 2738 5476 6253 12506 14947 17797 25012 29894 35594 59788 71188 194311 231361 388622 462722 553039 777244 925444 1106078 2212156 2526043 5052086 7189507 10104172 14379014 20462443 28758028 40924886 81849772 93463591 186927182 223412809 266011759 373854364 446825618 532023518 893651236 1064047036 2904366517 3458152867 5808733034 6916305734 8266273933 11617466068 13832611468 16532547866 33065095732 37756764721 75513529442 107461561129 151027058884 214923122258 305852135521 429846244516 611704271042 1223408542084 1397000294677 2794000589354 3976077761773 5588001178708 7952155523546 15904311047092 51689010903049 103378021806098 206756043612196