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71603630617 is a prime number
BaseRepresentation
bin100001010101111101…
…0001011001000011001
320211211011212022112011
41002223322023020121
52133121012134432
652521054145521
75113255550401
oct1025372131031
9224734768464
1071603630617
1128404423532
1211a63ab22a1
1369a1751acc
1436739b3801
151ce12ca847
hex10abe8b219

71603630617 has 2 divisors, whose sum is σ = 71603630618. Its totient is φ = 71603630616.

The previous prime is 71603630519. The next prime is 71603630653.

It is a happy number.

71603630617 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67062353296 + 4541277321 = 258964^2 + 67389^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-71603630617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 71603630617.

It is not a weakly prime, because it can be changed into another prime (71603630017) 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, 35801815308 + 35801815309.

It is an arithmetic number, because the mean of its divisors is an integer number (35801815309).

Almost surely, 271603630617 is an apocalyptic number.

It is an amenable number.

71603630617 is a deficient number, since it is larger than the sum of its proper divisors (1).

71603630617 is an equidigital number, since it uses as much as digits as its factorization.

71603630617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 95256, while the sum is 40.

The spelling of 71603630617 in words is "seventy-one billion, six hundred three million, six hundred thirty thousand, six hundred seventeen".