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242766463010033 is a prime number
BaseRepresentation
bin110111001100101101111000…
…110010101000010011110001
31011211120020200012210001101002
4313030231320302220103301
5223304441204012310113
62220153212401051345
7102064204160102444
oct6714557062502361
91154506605701332
10242766463010033
1170397751507a66
1223289925326b55
13a55ca18c841c1
1443d3d60c3d65b
151d0eda5b89c58
hexdccb78ca84f1

242766463010033 has 2 divisors, whose sum is σ = 242766463010034. Its totient is φ = 242766463010032.

The previous prime is 242766463009979. The next prime is 242766463010069. The reversal of 242766463010033 is 330010364667242.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 148016252113249 + 94750210896784 = 12166193^2 + 9733972^2 .

It is a cyclic number.

It is not a de Polignac number, because 242766463010033 - 216 = 242766462944497 is a prime.

It is a super-2 number, since 2×2427664630100332 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242766463010033.

It is not a weakly prime, because it can be changed into another prime (242766463010633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121383231505016 + 121383231505017.

It is an arithmetic number, because the mean of its divisors is an integer number (121383231505017).

Almost surely, 2242766463010033 is an apocalyptic number.

It is an amenable number.

242766463010033 is a deficient number, since it is larger than the sum of its proper divisors (1).

242766463010033 is an equidigital number, since it uses as much as digits as its factorization.

242766463010033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2612736, while the sum is 47.

The spelling of 242766463010033 in words is "two hundred forty-two trillion, seven hundred sixty-six billion, four hundred sixty-three million, ten thousand, thirty-three".