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65506006050049 is a prime number
BaseRepresentation
bin11101110010011110011100…
…01110001010010100000001
322120221022110012011022102001
432321033032032022110001
532041222300022100144
6351153013240424001
716540436616234235
oct1671171616122401
9276838405138361
1065506006050049
1119965a3974a394
12741b604a78001
132a72261196c96
141226716c485c5
15788e65337bd4
hex3b93ce38a501

65506006050049 has 2 divisors, whose sum is σ = 65506006050050. Its totient is φ = 65506006050048.

The previous prime is 65506006050047. The next prime is 65506006050073. The reversal of 65506006050049 is 94005060060556.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 46875931560000 + 18630074490049 = 6846600^2 + 4316257^2 .

It is a cyclic number.

It is not a de Polignac number, because 65506006050049 - 21 = 65506006050047 is a prime.

It is a super-3 number, since 3×655060060500493 (a number of 42 digits) contains 333 as substring.

Together with 65506006050047, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 65506006049990 and 65506006050008.

It is not a weakly prime, because it can be changed into another prime (65506006050047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32753003025024 + 32753003025025.

It is an arithmetic number, because the mean of its divisors is an integer number (32753003025025).

Almost surely, 265506006050049 is an apocalyptic number.

It is an amenable number.

65506006050049 is a deficient number, since it is larger than the sum of its proper divisors (1).

65506006050049 is an equidigital number, since it uses as much as digits as its factorization.

65506006050049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 65506006050049 in words is "sixty-five trillion, five hundred six billion, six million, fifty thousand, forty-nine".