Search a number
-
+
866243354296337 is a prime number
BaseRepresentation
bin1100010011110101111111111…
…1011011000000000000010001
311012121010001111202111102200122
43010331133333123000000101
51402020012342144440322
612310202411522400025
7350314005564615203
oct30475377733000021
94177101452442618
10866243354296337
1123101481a645516
12811a3922800015
132b247522c8b614
14113ca58b338773
156a22e9e42e442
hex313d7ff6c0011

866243354296337 has 2 divisors, whose sum is σ = 866243354296338. Its totient is φ = 866243354296336.

The previous prime is 866243354296291. The next prime is 866243354296343. The reversal of 866243354296337 is 733692453342668.

866243354296337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 840712576561936 + 25530777734401 = 28995044^2 + 5052799^2 .

It is a cyclic number.

It is not a de Polignac number, because 866243354296337 - 212 = 866243354292241 is a prime.

It is not a weakly prime, because it can be changed into another prime (866243354296937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 433121677148168 + 433121677148169.

It is an arithmetic number, because the mean of its divisors is an integer number (433121677148169).

Almost surely, 2866243354296337 is an apocalyptic number.

It is an amenable number.

866243354296337 is a deficient number, since it is larger than the sum of its proper divisors (1).

866243354296337 is an equidigital number, since it uses as much as digits as its factorization.

866243354296337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2821754880, while the sum is 71.

The spelling of 866243354296337 in words is "eight hundred sixty-six trillion, two hundred forty-three billion, three hundred fifty-four million, two hundred ninety-six thousand, three hundred thirty-seven".