Search a number
-
+
166301417461 is a prime number
BaseRepresentation
bin1001101011100001010…
…1100011111111110101
3120220020211110022200211
42122320111203333311
510211041130324321
6204221532305421
715005050503454
oct2327025437765
9526224408624
10166301417461
11645898a6393
1228292012271
13128b390b6ca
148098784b9b
1544d4cb40e1
hex26b8563ff5

166301417461 has 2 divisors, whose sum is σ = 166301417462. Its totient is φ = 166301417460.

The previous prime is 166301417449. The next prime is 166301417467. The reversal of 166301417461 is 164714103661.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158587132900 + 7714284561 = 398230^2 + 87831^2 .

It is a cyclic number.

It is not a de Polignac number, because 166301417461 - 29 = 166301416949 is a prime.

It is a super-2 number, since 2×1663014174612 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (166301417467) 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, 83150708730 + 83150708731.

It is an arithmetic number, because the mean of its divisors is an integer number (83150708731).

Almost surely, 2166301417461 is an apocalyptic number.

It is an amenable number.

166301417461 is a deficient number, since it is larger than the sum of its proper divisors (1).

166301417461 is an equidigital number, since it uses as much as digits as its factorization.

166301417461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 166301417461 in words is "one hundred sixty-six billion, three hundred one million, four hundred seventeen thousand, four hundred sixty-one".