Search a number
-
+
242767203357689 is a prime number
BaseRepresentation
bin110111001100101110100100…
…111010110101001111111001
31011211120022120210212121102122
4313030232210322311033321
5223304444213024421224
62220153414045211025
7102064231420000433
oct6714564472651771
91154508523777378
10242767203357689
1170397aa140512a
1223289ab1260a75
13a55cb0647c43a
1443d3dd12bb653
151d0edeab7c15e
hexdccba4eb53f9

242767203357689 has 2 divisors, whose sum is σ = 242767203357690. Its totient is φ = 242767203357688.

The previous prime is 242767203357559. The next prime is 242767203357743. The reversal of 242767203357689 is 986753302767242.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 173066127811600 + 69701075546089 = 13155460^2 + 8348717^2 .

It is a cyclic number.

It is not a de Polignac number, because 242767203357689 - 212 = 242767203353593 is a prime.

It is a super-2 number, since 2×2427672033576892 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (242767203357089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121383601678844 + 121383601678845.

It is an arithmetic number, because the mean of its divisors is an integer number (121383601678845).

Almost surely, 2242767203357689 is an apocalyptic number.

It is an amenable number.

242767203357689 is a deficient number, since it is larger than the sum of its proper divisors (1).

242767203357689 is an equidigital number, since it uses as much as digits as its factorization.

242767203357689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1280240640, while the sum is 71.

The spelling of 242767203357689 in words is "two hundred forty-two trillion, seven hundred sixty-seven billion, two hundred three million, three hundred fifty-seven thousand, six hundred eighty-nine".