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82274310881 = 7243714611193
BaseRepresentation
bin100110010011111101…
…1100101101011100001
321212100211122001000022
41030213323211223201
52321444210422011
6101444000003225
75641556050400
oct1144773455341
9255324561008
1082274310881
113198a781554
1213b41600515
1379b23841b9
143da6c3b637
152217eb88db
hex1327ee5ae1

82274310881 has 48 divisors (see below), whose sum is σ = 99610777728. Its totient is φ = 67706553600.

The previous prime is 82274310857. The next prime is 82274310889. The reversal of 82274310881 is 18801347228.

It is a de Polignac number, because none of the positive numbers 2k-82274310881 is a prime.

It is a super-2 number, since 2×822743108812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82274310889) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68963621 + ... + 68964813.

It is an arithmetic number, because the mean of its divisors is an integer number (2075224536).

Almost surely, 282274310881 is an apocalyptic number.

It is an amenable number.

82274310881 is a deficient number, since it is larger than the sum of its proper divisors (17336466847).

82274310881 is a wasteful number, since it uses less digits than its factorization.

82274310881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The spelling of 82274310881 in words is "eighty-two billion, two hundred seventy-four million, three hundred ten thousand, eight hundred eighty-one".

Divisors: 1 7 43 49 71 301 461 497 1193 2107 3053 3227 3479 8351 19823 21371 22589 32731 51299 58457 84703 138761 149597 229117 359093 549973 592921 971327 1407433 1603819 2513651 3642229 3849811 4150447 9852031 23648839 25495603 26948677 39048083 68964217 165541873 178469221 273336581 1158793111 1679067569 1913356067 11753472983 82274310881