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81729292718 = 217194310129131
BaseRepresentation
bin100110000011101110…
…0100000100110101110
321210221212002020122102
41030013130200212232
52314340144331333
6101313530215102
75622220345223
oct1140734404656
9253855066572
1081729292718
1131730067317
1213a0ab84492
137926499448
143d546c794a
1521d520bae8
hex13077209ae

81729292718 has 64 divisors (see below), whose sum is σ = 141203969280. Its totient is φ = 35235648000.

The previous prime is 81729292681. The next prime is 81729292739.

81729292718 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 2791013 + ... + 2820143.

It is an arithmetic number, because the mean of its divisors is an integer number (2206312020).

Almost surely, 281729292718 is an apocalyptic number.

81729292718 is a deficient number, since it is larger than the sum of its proper divisors (59474676562).

81729292718 is a wasteful number, since it uses less digits than its factorization.

81729292718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29313.

The product of its digits is 2032128, while the sum is 56.

The spelling of 81729292718 in words is "eighty-one billion, seven hundred twenty-nine million, two hundred ninety-two thousand, seven hundred eighteen".

Divisors: 1 2 17 19 34 38 43 86 101 202 323 646 731 817 1462 1634 1717 1919 3434 3838 4343 8686 13889 27778 29131 32623 58262 65246 73831 82517 147662 165034 495227 553489 990454 1106978 1252633 1402789 2505266 2805578 2942231 5884462 9409313 18818626 21294761 23800027 42589522 47600054 50017927 55902389 100035854 111804778 126515933 253031866 404600459 809200918 950340613 1900681226 2150770861 2403802727 4301541722 4807605454 40864646359 81729292718