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83617271473 is a prime number
BaseRepresentation
bin100110111011111111…
…0100100111010110001
321222211102122111121111
41031313332210322301
52332222010141343
6102225132153321
76020054036401
oct1156776447261
9258742574544
1083617271473
113250985173a
1214257308841
137b67681438
144093342801
152295d42c9d
hex1377fa4eb1

83617271473 has 2 divisors, whose sum is σ = 83617271474. Its totient is φ = 83617271472.

The previous prime is 83617271449. The next prime is 83617271483. The reversal of 83617271473 is 37417271638.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81832039969 + 1785231504 = 286063^2 + 42252^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83617271473 is a prime.

It is not a weakly prime, because it can be changed into another prime (83617271483) 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, 41808635736 + 41808635737.

It is an arithmetic number, because the mean of its divisors is an integer number (41808635737).

Almost surely, 283617271473 is an apocalyptic number.

It is an amenable number.

83617271473 is a deficient number, since it is larger than the sum of its proper divisors (1).

83617271473 is an equidigital number, since it uses as much as digits as its factorization.

83617271473 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1185408, while the sum is 49.

The spelling of 83617271473 in words is "eighty-three billion, six hundred seventeen million, two hundred seventy-one thousand, four hundred seventy-three".