Search a number
-
+
164712114171029 is a prime number
BaseRepresentation
bin100101011100111000000111…
…000011100010110010010101
3210121012022202102211210111002
4211130320013003202302111
5133042120402211433104
61342151411201153045
746460025510650405
oct4534700703426225
9717168672753432
10164712114171029
1148534019460537
121658238992b785
1370ba393957319
142c96174a0a805
151409817ba901e
hex95ce070e2c95

164712114171029 has 2 divisors, whose sum is σ = 164712114171030. Its totient is φ = 164712114171028.

The previous prime is 164712114170971. The next prime is 164712114171041. The reversal of 164712114171029 is 920171411217461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 152188492060900 + 12523622110129 = 12336470^2 + 3538873^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164712114171029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164712114170029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82356057085514 + 82356057085515.

It is an arithmetic number, because the mean of its divisors is an integer number (82356057085515).

Almost surely, 2164712114171029 is an apocalyptic number.

It is an amenable number.

164712114171029 is a deficient number, since it is larger than the sum of its proper divisors (1).

164712114171029 is an equidigital number, since it uses as much as digits as its factorization.

164712114171029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 169344, while the sum is 47.

The spelling of 164712114171029 in words is "one hundred sixty-four trillion, seven hundred twelve billion, one hundred fourteen million, one hundred seventy-one thousand, twenty-nine".