Search a number
-
+
164011478417 is a prime number
BaseRepresentation
bin1001100010111111011…
…0001000110110010001
3120200100020112100212122
42120233312020312101
510141343414302132
6203202411104025
714564233364363
oct2305766106621
9520306470778
10164011478417
1163614227286
1227953142015
131260a379aa7
147d1c5b4d33
1543edc2d912
hex262fd88d91

164011478417 has 2 divisors, whose sum is σ = 164011478418. Its totient is φ = 164011478416.

The previous prime is 164011478363. The next prime is 164011478429. The reversal of 164011478417 is 714874110461.

164011478417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163106130496 + 905347921 = 403864^2 + 30089^2 .

It is a cyclic number.

It is not a de Polignac number, because 164011478417 - 226 = 163944369553 is a prime.

It is not a weakly prime, because it can be changed into another prime (164011478437) 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, 82005739208 + 82005739209.

It is an arithmetic number, because the mean of its divisors is an integer number (82005739209).

Almost surely, 2164011478417 is an apocalyptic number.

It is an amenable number.

164011478417 is a deficient number, since it is larger than the sum of its proper divisors (1).

164011478417 is an equidigital number, since it uses as much as digits as its factorization.

164011478417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150528, while the sum is 44.

Adding to 164011478417 its reverse (714874110461), we get a palindrome (878885588878).

The spelling of 164011478417 in words is "one hundred sixty-four billion, eleven million, four hundred seventy-eight thousand, four hundred seventeen".