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209833966057 is a prime number
BaseRepresentation
bin1100001101101100010…
…1000011100111101001
3202001121200121220212111
43003123011003213221
511414214443403212
6240221342042321
721105611165662
oct3033305034751
9661550556774
10209833966057
1180a98892481
1234800b793a1
1316a307b55c1
14a228184369
1556d1986ea7
hex30db1439e9

209833966057 has 2 divisors, whose sum is σ = 209833966058. Its totient is φ = 209833966056.

The previous prime is 209833966049. The next prime is 209833966081. The reversal of 209833966057 is 750669338902.

209833966057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199884103056 + 9949863001 = 447084^2 + 99749^2 .

It is a cyclic number.

It is not a de Polignac number, because 209833966057 - 23 = 209833966049 is a prime.

It is a super-3 number, since 3×2098339660573 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 209833965992 and 209833966010.

It is not a weakly prime, because it can be changed into another prime (209833966757) 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 as a sum of consecutive naturals, namely, 104916983028 + 104916983029.

It is an arithmetic number, because the mean of its divisors is an integer number (104916983029).

Almost surely, 2209833966057 is an apocalyptic number.

It is an amenable number.

209833966057 is a deficient number, since it is larger than the sum of its proper divisors (1).

209833966057 is an equidigital number, since it uses as much as digits as its factorization.

209833966057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14696640, while the sum is 58.

The spelling of 209833966057 in words is "two hundred nine billion, eight hundred thirty-three million, nine hundred sixty-six thousand, fifty-seven".