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41778648449 is a prime number
BaseRepresentation
bin100110111010001100…
…111001010110000001
310222211121220020110222
4212322030321112001
51141030313222244
631105353232425
73006212436536
oct467214712601
9128747806428
1041778648449
1116799a59a3a
12811b702715
133c2a707c75
1420448c6d8d
151147c23bee
hex9ba339581

41778648449 has 2 divisors, whose sum is σ = 41778648450. Its totient is φ = 41778648448.

The previous prime is 41778648409. The next prime is 41778648463. The reversal of 41778648449 is 94484687714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30849409600 + 10929238849 = 175640^2 + 104543^2 .

It is a cyclic number.

It is not a de Polignac number, because 41778648449 - 220 = 41777599873 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 41778648391 and 41778648400.

It is not a weakly prime, because it can be changed into another prime (41778648409) 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, 20889324224 + 20889324225.

It is an arithmetic number, because the mean of its divisors is an integer number (20889324225).

Almost surely, 241778648449 is an apocalyptic number.

It is an amenable number.

41778648449 is a deficient number, since it is larger than the sum of its proper divisors (1).

41778648449 is an equidigital number, since it uses as much as digits as its factorization.

41778648449 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 43352064, while the sum is 62.

The spelling of 41778648449 in words is "forty-one billion, seven hundred seventy-eight million, six hundred forty-eight thousand, four hundred forty-nine".