Search a number
-
+
167436064540361 is a prime number
BaseRepresentation
bin100110000100100000111111…
…001001100100011011001001
3210221211201202020000212102002
4212010200333021210123021
5133421233030010242421
61352035022143120345
750160566524033601
oct4604407711443311
9727751666025362
10167436064540361
1149394266424981
12169422932a30b5
1372571cb5986a6
142d4bd3d59bc01
1514555e26c9b0b
hex98483f2646c9

167436064540361 has 2 divisors, whose sum is σ = 167436064540362. Its totient is φ = 167436064540360.

The previous prime is 167436064540313. The next prime is 167436064540373. The reversal of 167436064540361 is 163045460634761.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146939392884736 + 20496671655625 = 12121856^2 + 4527325^2 .

It is a cyclic number.

It is not a de Polignac number, because 167436064540361 - 238 = 167161186633417 is a prime.

It is a super-3 number, since 3×1674360645403613 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 167436064540297 and 167436064540306.

It is not a weakly prime, because it can be changed into another prime (167436064570361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83718032270180 + 83718032270181.

It is an arithmetic number, because the mean of its divisors is an integer number (83718032270181).

Almost surely, 2167436064540361 is an apocalyptic number.

It is an amenable number.

167436064540361 is a deficient number, since it is larger than the sum of its proper divisors (1).

167436064540361 is an equidigital number, since it uses as much as digits as its factorization.

167436064540361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26127360, while the sum is 56.

The spelling of 167436064540361 in words is "one hundred sixty-seven trillion, four hundred thirty-six billion, sixty-four million, five hundred forty thousand, three hundred sixty-one".