Search a number
-
+
2042573336057 is a prime number
BaseRepresentation
bin11101101110010010110…
…110111010110111111001
321020021020110002101220102
4131232102312322313321
5231431142233223212
64202202323205145
7300366604614242
oct35562266726771
97207213071812
102042573336057
11718283442341
1228ba458167b5
1311a7c97b2197
1470c0ab1bcc9
15381ea8795c2
hex1db92dbadf9

2042573336057 has 2 divisors, whose sum is σ = 2042573336058. Its totient is φ = 2042573336056.

The previous prime is 2042573335993. The next prime is 2042573336059. The reversal of 2042573336057 is 7506333752402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1638453760441 + 404119575616 = 1280021^2 + 635704^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042573336057 - 26 = 2042573335993 is a prime.

Together with 2042573336059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2042573336059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1021286668028 + 1021286668029.

It is an arithmetic number, because the mean of its divisors is an integer number (1021286668029).

Almost surely, 22042573336057 is an apocalyptic number.

It is an amenable number.

2042573336057 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042573336057 is an equidigital number, since it uses as much as digits as its factorization.

2042573336057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3175200, while the sum is 47.

The spelling of 2042573336057 in words is "two trillion, forty-two billion, five hundred seventy-three million, three hundred thirty-six thousand, fifty-seven".