Search a number
-
+
2018170640257 is a prime number
BaseRepresentation
bin11101010111100100010…
…110000001011110000001
321010221020210010000102021
4131113210112001132001
5231031203140442012
64143045040521441
7265544102253442
oct35274426013601
97127223100367
102018170640257
117089a0792852
12287175320281
1311840ac3c505
146d973c192c9
153776d341007
hex1d5e4581781

2018170640257 has 2 divisors, whose sum is σ = 2018170640258. Its totient is φ = 2018170640256.

The previous prime is 2018170640203. The next prime is 2018170640261. The reversal of 2018170640257 is 7520460718102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1942946058816 + 75224581441 = 1393896^2 + 274271^2 .

It is a cyclic number.

It is not a de Polignac number, because 2018170640257 - 235 = 1983810901889 is a prime.

It is not a weakly prime, because it can be changed into another prime (2018170640267) 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, 1009085320128 + 1009085320129.

It is an arithmetic number, because the mean of its divisors is an integer number (1009085320129).

Almost surely, 22018170640257 is an apocalyptic number.

It is an amenable number.

2018170640257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2018170640257 is an equidigital number, since it uses as much as digits as its factorization.

2018170640257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 188160, while the sum is 43.

The spelling of 2018170640257 in words is "two trillion, eighteen billion, one hundred seventy million, six hundred forty thousand, two hundred fifty-seven".