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83538448355777 is a prime number
BaseRepresentation
bin10010111111101001001111…
…100010100001000111000001
3101221210012100002200212002112
4102333221033202201013001
541422143220234341102
6453401011113025105
723411311424643602
oct2277511742410701
9357705302625075
1083538448355777
1124688503288058
1294523893b5195
13377c84628a55c
14168b3d5173da9
1599d06044b252
hex4bfa4f8a11c1

83538448355777 has 2 divisors, whose sum is σ = 83538448355778. Its totient is φ = 83538448355776.

The previous prime is 83538448355767. The next prime is 83538448355779. The reversal of 83538448355777 is 77755384483538.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83051580733696 + 486867622081 = 9113264^2 + 697759^2 .

It is a cyclic number.

It is not a de Polignac number, because 83538448355777 - 212 = 83538448351681 is a prime.

Together with 83538448355779, 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 = 83538448355698 and 83538448355707.

It is not a weakly prime, because it can be changed into another prime (83538448355779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41769224177888 + 41769224177889.

It is an arithmetic number, because the mean of its divisors is an integer number (41769224177889).

Almost surely, 283538448355777 is an apocalyptic number.

It is an amenable number.

83538448355777 is a deficient number, since it is larger than the sum of its proper divisors (1).

83538448355777 is an equidigital number, since it uses as much as digits as its factorization.

83538448355777 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9483264000, while the sum is 77.

The spelling of 83538448355777 in words is "eighty-three trillion, five hundred thirty-eight billion, four hundred forty-eight million, three hundred fifty-five thousand, seven hundred seventy-seven".