Search a number
-
+
216172018853657 is a prime number
BaseRepresentation
bin110001001001101101111000…
…011001001110011100011001
31001100101211202200020000222222
4301021231320121032130121
5211313230243311304112
62043432015434353425
763350625101426216
oct6111557031163431
91040354680200888
10216172018853657
1162974047060589
12202b370388b875
139380c1aa4a019
143b54ad2780b0d
1519ed1e4b4e372
hexc49b7864e719

216172018853657 has 2 divisors, whose sum is σ = 216172018853658. Its totient is φ = 216172018853656.

The previous prime is 216172018853641. The next prime is 216172018853699. The reversal of 216172018853657 is 756358810271612.

It is a happy number.

216172018853657 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., 138050656254016 + 78121362599641 = 11749496^2 + 8838629^2 .

It is a cyclic number.

It is not a de Polignac number, because 216172018853657 - 24 = 216172018853641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 216172018853657.

It is not a weakly prime, because it can be changed into another prime (216172018850657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108086009426828 + 108086009426829.

It is an arithmetic number, because the mean of its divisors is an integer number (108086009426829).

Almost surely, 2216172018853657 is an apocalyptic number.

It is an amenable number.

216172018853657 is a deficient number, since it is larger than the sum of its proper divisors (1).

216172018853657 is an equidigital number, since it uses as much as digits as its factorization.

216172018853657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 33868800, while the sum is 62.

The spelling of 216172018853657 in words is "two hundred sixteen trillion, one hundred seventy-two billion, eighteen million, eight hundred fifty-three thousand, six hundred fifty-seven".