Search a number
-
+
189937298848357 is a prime number
BaseRepresentation
bin101011001011111100111001…
…001110100011101001100101
3220220111211100221010021112101
4223023330321032203221211
5144343413042001121412
61511543553541052101
755002342220641634
oct5313747116435145
9826454327107471
10189937298848357
1155579a575aa045
12193771550b7031
1381ca019ba87c8
1434c902b3cd51b
1516e5a896d7457
hexacbf393a3a65

189937298848357 has 2 divisors, whose sum is σ = 189937298848358. Its totient is φ = 189937298848356.

The previous prime is 189937298848223. The next prime is 189937298848387. The reversal of 189937298848357 is 753848892739981.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188332640752356 + 1604658096001 = 13723434^2 + 1266751^2 .

It is an emirp because it is prime and its reverse (753848892739981) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-189937298848357 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (189937298848387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 94968649424178 + 94968649424179.

It is an arithmetic number, because the mean of its divisors is an integer number (94968649424179).

Almost surely, 2189937298848357 is an apocalyptic number.

It is an amenable number.

189937298848357 is a deficient number, since it is larger than the sum of its proper divisors (1).

189937298848357 is an equidigital number, since it uses as much as digits as its factorization.

189937298848357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52672757760, while the sum is 91.

The spelling of 189937298848357 in words is "one hundred eighty-nine trillion, nine hundred thirty-seven billion, two hundred ninety-eight million, eight hundred forty-eight thousand, three hundred fifty-seven".