Search a number
-
+
20157613169 is a prime number
BaseRepresentation
bin10010110001011111…
…001100010001110001
31221000211002211212112
4102301133030101301
5312240322110134
613132115335105
71312344612341
oct226137142161
957024084775
1020157613169
1186044a1141
123aa68b1495
131b93240b75
14d931d2d21
157cea011ce
hex4b17cc471

20157613169 has 2 divisors, whose sum is σ = 20157613170. Its totient is φ = 20157613168.

The previous prime is 20157613163. The next prime is 20157613187. The reversal of 20157613169 is 96131675102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18188028769 + 1969584400 = 134863^2 + 44380^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20157613169 is a prime.

It is a super-2 number, since 2×201576131692 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20157613163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10078806584 + 10078806585.

It is an arithmetic number, because the mean of its divisors is an integer number (10078806585).

Almost surely, 220157613169 is an apocalyptic number.

It is an amenable number.

20157613169 is a deficient number, since it is larger than the sum of its proper divisors (1).

20157613169 is an equidigital number, since it uses as much as digits as its factorization.

20157613169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 41.

The spelling of 20157613169 in words is "twenty billion, one hundred fifty-seven million, six hundred thirteen thousand, one hundred sixty-nine".