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71643466434617 = 7113130014020291
BaseRepresentation
bin10000010010100011001011…
…010111100000100000111001
3100101200001022100122220121122
4100102203023113200200321
533342301304401401432
6412212315404515025
721043032612602210
oct2022431327404071
9311601270586548
1071643466434617
1120911907074250
128050b97b4ba75
1330c8c46bc8b2c
1413997c2c62077
1584392708d612
hex4128cb5e0839

71643466434617 has 16 divisors (see below), whose sum is σ = 92203070337024. Its totient is φ = 54025236522000.

The previous prime is 71643466434611. The next prime is 71643466434649.

It is a happy number.

71643466434617 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 71643466434617 - 246 = 1274722256953 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71643466434617.

It is not an unprimeable number, because it can be changed into a prime (71643466434611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15007007759 + ... + 15007012532.

It is an arithmetic number, because the mean of its divisors is an integer number (5762691896064).

Almost surely, 271643466434617 is an apocalyptic number.

71643466434617 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

71643466434617 is a deficient number, since it is larger than the sum of its proper divisors (20559603902407).

71643466434617 is a wasteful number, since it uses less digits than its factorization.

71643466434617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30014020340.

The product of its digits is 146313216, while the sum is 62.

The spelling of 71643466434617 in words is "seventy-one trillion, six hundred forty-three billion, four hundred sixty-six million, four hundred thirty-four thousand, six hundred seventeen".

Divisors: 1 7 11 31 77 217 341 2387 30014020291 210098142037 330154223201 930434629021 2311079562407 6513042403147 10234780919231 71643466434617