Search a number
-
+
16728882761 is a prime number
BaseRepresentation
bin11111001010001111…
…00111111001001001
31121011212100021222102
433211013213321021
5233230043222021
611403554003145
71131362104643
oct174507477111
947155307872
1016728882761
117105022248
1232aa5764b5
131767a98bc6
14b49aa7893
1567d9c100b
hex3e51e7e49

16728882761 has 2 divisors, whose sum is σ = 16728882762. Its totient is φ = 16728882760.

The previous prime is 16728882727. The next prime is 16728882763.

16728882761 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9971220736 + 6757662025 = 99856^2 + 82205^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 16728882761 - 210 = 16728881737 is a prime.

Together with 16728882763, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 16728882697 and 16728882706.

It is not a weakly prime, because it can be changed into another prime (16728882763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8364441380 + 8364441381.

It is an arithmetic number, because the mean of its divisors is an integer number (8364441381).

Almost surely, 216728882761 is an apocalyptic number.

It is an amenable number.

16728882761 is a deficient number, since it is larger than the sum of its proper divisors (1).

16728882761 is an equidigital number, since it uses as much as digits as its factorization.

16728882761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3612672, while the sum is 56.

The spelling of 16728882761 in words is "sixteen billion, seven hundred twenty-eight million, eight hundred eighty-two thousand, seven hundred sixty-one".