Search a number
-
+
34806184733 is a prime number
BaseRepresentation
bin100000011010100111…
…000011101100011101
310022211200222101101002
4200122213003230131
51032240340402413
623553441200045
72341346455145
oct403247035435
9108750871332
1034806184733
1113841202831
1268b4630025
1333890237a8
141982897925
15d8aa48958
hex81a9c3b1d

34806184733 has 2 divisors, whose sum is σ = 34806184734. Its totient is φ = 34806184732.

The previous prime is 34806184657. The next prime is 34806184747. The reversal of 34806184733 is 33748160843.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34439194084 + 366990649 = 185578^2 + 19157^2 .

It is a cyclic number.

It is not a de Polignac number, because 34806184733 - 216 = 34806119197 is a prime.

It is a super-2 number, since 2×348061847332 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34806184753) 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, 17403092366 + 17403092367.

It is an arithmetic number, because the mean of its divisors is an integer number (17403092367).

Almost surely, 234806184733 is an apocalyptic number.

It is an amenable number.

34806184733 is a deficient number, since it is larger than the sum of its proper divisors (1).

34806184733 is an equidigital number, since it uses as much as digits as its factorization.

34806184733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1161216, while the sum is 47.

The spelling of 34806184733 in words is "thirty-four billion, eight hundred six million, one hundred eighty-four thousand, seven hundred thirty-three".