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114766505461 is a prime number
BaseRepresentation
bin110101011100010011…
…1011110010111110101
3101222020021102112122101
41222320213132113311
53340020211133321
6124420100302101
711202010125556
oct1527047362765
9358207375571
10114766505461
1144743778223
121a2ab0a1931
13aa8cb74a3a
1457aa26432d
152eba7ca791
hex1ab89de5f5

114766505461 has 2 divisors, whose sum is σ = 114766505462. Its totient is φ = 114766505460.

The previous prime is 114766505407. The next prime is 114766505473. The reversal of 114766505461 is 164505667411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87506514225 + 27259991236 = 295815^2 + 165106^2 .

It is an emirp because it is prime and its reverse (164505667411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114766505461 - 29 = 114766504949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114766505401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57383252730 + 57383252731.

It is an arithmetic number, because the mean of its divisors is an integer number (57383252731).

Almost surely, 2114766505461 is an apocalyptic number.

It is an amenable number.

114766505461 is a deficient number, since it is larger than the sum of its proper divisors (1).

114766505461 is an equidigital number, since it uses as much as digits as its factorization.

114766505461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 114766505461 in words is "one hundred fourteen billion, seven hundred sixty-six million, five hundred five thousand, four hundred sixty-one".