Search a number
-
+
346362043507189 is a prime number
BaseRepresentation
bin100111011000000111011001…
…0100100010010000111110101
31200102100212222100010220102121
41032300032302210102013311
5330344243431114212224
63224352305352235541
7132645555216223153
oct11660166244220765
91612325870126377
10346362043507189
11a03a8354a13516
1232a1b34b69bbb1
1311b35a53a864a8
146176025c783d3
152a09a11a2dbe4
hex13b03b29121f5

346362043507189 has 2 divisors, whose sum is σ = 346362043507190. Its totient is φ = 346362043507188.

The previous prime is 346362043507187. The next prime is 346362043507201. The reversal of 346362043507189 is 981705340263643.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 290940123239089 + 55421920268100 = 17056967^2 + 7444590^2 .

It is a cyclic number.

It is not a de Polignac number, because 346362043507189 - 21 = 346362043507187 is a prime.

It is a super-2 number, since 2×3463620435071892 (a number of 30 digits) contains 22 as substring.

Together with 346362043507187, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (346362043507187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 173181021753594 + 173181021753595.

It is an arithmetic number, because the mean of its divisors is an integer number (173181021753595).

It is a 1-persistent number, because it is pandigital, but 2⋅346362043507189 = 692724087014378 is not.

Almost surely, 2346362043507189 is an apocalyptic number.

It is an amenable number.

346362043507189 is a deficient number, since it is larger than the sum of its proper divisors (1).

346362043507189 is an equidigital number, since it uses as much as digits as its factorization.

346362043507189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78382080, while the sum is 61.

The spelling of 346362043507189 in words is "three hundred forty-six trillion, three hundred sixty-two billion, forty-three million, five hundred seven thousand, one hundred eighty-nine".