Search a number
-
+
197894317337 is a prime number
BaseRepresentation
bin1011100001001101101…
…0111010010100011001
3200220210121001220220122
42320103122322110121
511220241421123322
6230524510003025
720204001641333
oct2702332722431
9626717056818
10197894317337
1176a212016a2
123242a4a6475
1315879cc18c2
149814596453
155233688442
hex2e136ba519

197894317337 has 2 divisors, whose sum is σ = 197894317338. Its totient is φ = 197894317336.

The previous prime is 197894317241. The next prime is 197894317339. The reversal of 197894317337 is 733713498791.

197894317337 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., 170512010761 + 27382306576 = 412931^2 + 165476^2 .

It is a cyclic number.

It is not a de Polignac number, because 197894317337 - 214 = 197894300953 is a prime.

Together with 197894317339, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 197894317337.

It is not a weakly prime, because it can be changed into another prime (197894317339) 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, 98947158668 + 98947158669.

It is an arithmetic number, because the mean of its divisors is an integer number (98947158669).

Almost surely, 2197894317337 is an apocalyptic number.

It is an amenable number.

197894317337 is a deficient number, since it is larger than the sum of its proper divisors (1).

197894317337 is an equidigital number, since it uses as much as digits as its factorization.

197894317337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24004512, while the sum is 62.

The spelling of 197894317337 in words is "one hundred ninety-seven billion, eight hundred ninety-four million, three hundred seventeen thousand, three hundred thirty-seven".