Search a number
-
+
41749268849 is a prime number
BaseRepresentation
bin100110111000011100…
…110100100101110001
310222202120121121020122
4212320130310211301
51141000303100344
631102423420025
73005404633661
oct467034644561
9128676547218
1041749268849
1116784412682
1281118b4615
133c245bc4a2
142040a3a1a1
15114536daee
hex9b8734971

41749268849 has 2 divisors, whose sum is σ = 41749268850. Its totient is φ = 41749268848.

The previous prime is 41749268839. The next prime is 41749268851. The reversal of 41749268849 is 94886294714.

41749268849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40323451249 + 1425817600 = 200807^2 + 37760^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41749268849 is a prime.

Together with 41749268851, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 41749268791 and 41749268800.

It is not a weakly prime, because it can be changed into another prime (41749268839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20874634424 + 20874634425.

It is an arithmetic number, because the mean of its divisors is an integer number (20874634425).

Almost surely, 241749268849 is an apocalyptic number.

It is an amenable number.

41749268849 is a deficient number, since it is larger than the sum of its proper divisors (1).

41749268849 is an equidigital number, since it uses as much as digits as its factorization.

41749268849 is an evil number, because the sum of its binary digits is even.

The product of its digits is 27869184, while the sum is 62.

The spelling of 41749268849 in words is "forty-one billion, seven hundred forty-nine million, two hundred sixty-eight thousand, eight hundred forty-nine".