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71742113017 is a prime number
BaseRepresentation
bin100001011010000101…
…0011100010011111001
320212011211102221122221
41002310022130103321
52133411440104032
652542522244041
75116556620231
oct1026412342371
9225154387587
1071742113017
11284756093a3
1211aa2356621
1369c434a463
143688140cc1
151ced532597
hex10b429c4f9

71742113017 has 2 divisors, whose sum is σ = 71742113018. Its totient is φ = 71742113016.

The previous prime is 71742112963. The next prime is 71742113033. The reversal of 71742113017 is 71031124717.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70655487721 + 1086625296 = 265811^2 + 32964^2 .

It is a cyclic number.

It is not a de Polignac number, because 71742113017 - 27 = 71742112889 is a prime.

It is not a weakly prime, because it can be changed into another prime (71742113057) 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, 35871056508 + 35871056509.

It is an arithmetic number, because the mean of its divisors is an integer number (35871056509).

Almost surely, 271742113017 is an apocalyptic number.

It is an amenable number.

71742113017 is a deficient number, since it is larger than the sum of its proper divisors (1).

71742113017 is an equidigital number, since it uses as much as digits as its factorization.

71742113017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8232, while the sum is 34.

The spelling of 71742113017 in words is "seventy-one billion, seven hundred forty-two million, one hundred thirteen thousand, seventeen".