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214506791977 is a prime number
BaseRepresentation
bin1100011111000110011…
…0011110010000101001
3202111200100101001222011
43013301212132100221
512003302214320402
6242313144555521
721332451435112
oct3076146362051
9674610331864
10214506791977
1182a76545785
12356a5a82ba1
13172c692075a
14a54c9db209
1558a6d12ed7
hex31f199e429

214506791977 has 2 divisors, whose sum is σ = 214506791978. Its totient is φ = 214506791976.

The previous prime is 214506791927. The next prime is 214506792029. The reversal of 214506791977 is 779197605412.

It is a happy number.

214506791977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120284806041 + 94221985936 = 346821^2 + 306956^2 .

It is a cyclic number.

It is not a de Polignac number, because 214506791977 - 211 = 214506789929 is a prime.

It is not a weakly prime, because it can be changed into another prime (214506791927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107253395988 + 107253395989.

It is an arithmetic number, because the mean of its divisors is an integer number (107253395989).

Almost surely, 2214506791977 is an apocalyptic number.

It is an amenable number.

214506791977 is a deficient number, since it is larger than the sum of its proper divisors (1).

214506791977 is an equidigital number, since it uses as much as digits as its factorization.

214506791977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6667920, while the sum is 58.

The spelling of 214506791977 in words is "two hundred fourteen billion, five hundred six million, seven hundred ninety-one thousand, nine hundred seventy-seven".