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163840813049 is a prime number
BaseRepresentation
bin1001100010010110101…
…1000110011111111001
3120122220100101200000002
42120211223012133321
510141021222004144
6203133433122345
714560061634614
oct2304553063771
9518810350002
10163840813049
116353695a921
1227905b593b5
13125b0bc3974
147d03a6b17b
1543ddc6b14e
hex2625ac67f9

163840813049 has 2 divisors, whose sum is σ = 163840813050. Its totient is φ = 163840813048.

The previous prime is 163840813043. The next prime is 163840813051. The reversal of 163840813049 is 940318048361.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159115625449 + 4725187600 = 398893^2 + 68740^2 .

It is a cyclic number.

It is not a de Polignac number, because 163840813049 - 228 = 163572377593 is a prime.

It is a Sophie Germain prime.

Together with 163840813051, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 163840812994 and 163840813012.

It is not a weakly prime, because it can be changed into another prime (163840813043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 81920406524 + 81920406525.

It is an arithmetic number, because the mean of its divisors is an integer number (81920406525).

Almost surely, 2163840813049 is an apocalyptic number.

It is an amenable number.

163840813049 is a deficient number, since it is larger than the sum of its proper divisors (1).

163840813049 is an equidigital number, since it uses as much as digits as its factorization.

163840813049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 163840813049 in words is "one hundred sixty-three billion, eight hundred forty million, eight hundred thirteen thousand, forty-nine".