Search a number
-
+
164414415403171 is a prime number
BaseRepresentation
bin100101011000100010110110…
…110100110111100010100011
3210120010212100022002110210001
4211120202312310313202203
5133022231210320400141
61341402534551320431
746426356325120453
oct4530426664674243
9716125308073701
10164414415403171
1148429842246a8a
1216534747080117
13709829c81264b
142c859b3377d63
151401be2561a31
hex9588b6d378a3

164414415403171 has 2 divisors, whose sum is σ = 164414415403172. Its totient is φ = 164414415403170.

The previous prime is 164414415403169. The next prime is 164414415403289. The reversal of 164414415403171 is 171304514414461.

164414415403171 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 is an emirp because it is prime and its reverse (171304514414461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164414415403171 - 21 = 164414415403169 is a prime.

It is a super-3 number, since 3×1644144154031713 (a number of 44 digits) contains 333 as substring.

Together with 164414415403169, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (164414415403471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82207207701585 + 82207207701586.

It is an arithmetic number, because the mean of its divisors is an integer number (82207207701586).

Almost surely, 2164414415403171 is an apocalyptic number.

164414415403171 is a deficient number, since it is larger than the sum of its proper divisors (1).

164414415403171 is an equidigital number, since it uses as much as digits as its factorization.

164414415403171 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 164414415403171 in words is "one hundred sixty-four trillion, four hundred fourteen billion, four hundred fifteen million, four hundred three thousand, one hundred seventy-one".