Search a number
-
+
8106846449 = 132377262349
BaseRepresentation
bin1111000110011010…
…01010100011110001
3202220222110110200012
413203031022203301
5113100323041244
63420233504305
7404616025562
oct74315124361
922828413605
108106846449
1134901157a9
1216a2b72095
139c2712c80
1456c95c169
15326aa389e
hex1e334a8f1

8106846449 has 8 divisors (see below), whose sum is σ = 8734156200. Its totient is φ = 7480066176.

The previous prime is 8106846439. The next prime is 8106846463. The reversal of 8106846449 is 9446486018.

It can be written as a sum of positive squares in 4 ways, for example, as 89434849 + 8017411600 = 9457^2 + 89540^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8106846449 - 224 = 8090069233 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8106846397 and 8106846406.

It is not an unprimeable number, because it can be changed into a prime (8106846439) 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 in 7 ways as a sum of consecutive naturals, for example, 100274 + ... + 162075.

It is an arithmetic number, because the mean of its divisors is an integer number (1091769525).

Almost surely, 28106846449 is an apocalyptic number.

It is an amenable number.

8106846449 is a deficient number, since it is larger than the sum of its proper divisors (627309751).

8106846449 is a wasteful number, since it uses less digits than its factorization.

8106846449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264739.

The product of its (nonzero) digits is 1327104, while the sum is 50.

The square root of 8106846449 is about 90038.0277938161. The cubic root of 8106846449 is about 2008.8645228199.

The spelling of 8106846449 in words is "eight billion, one hundred six million, eight hundred forty-six thousand, four hundred forty-nine".

Divisors: 1 13 2377 30901 262349 3410537 623603573 8106846449