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81826408517 = 7717911318443
BaseRepresentation
bin100110000110100111…
…0111110100001000101
321211012121211020110212
41030031032332201011
52320040030033032
6101331315525205
75624506665530
oct1141516764105
9254177736425
1081826408517
113177a968907
1213a375b9805
137940640209
143d63567a17
1521dd9e1bb2
hex130d3be845

81826408517 has 32 divisors (see below), whose sum is σ = 96888545280. Its totient is φ = 67665911040.

The previous prime is 81826408511. The next prime is 81826408529. The reversal of 81826408517 is 71580462818.

It is not a de Polignac number, because 81826408517 - 212 = 81826404421 is a prime.

It is a super-2 number, since 2×818264085172 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81826408511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4427498 + ... + 4445940.

It is an arithmetic number, because the mean of its divisors is an integer number (3027767040).

Almost surely, 281826408517 is an apocalyptic number.

It is an amenable number.

81826408517 is a deficient number, since it is larger than the sum of its proper divisors (15062136763).

81826408517 is a wasteful number, since it uses less digits than its factorization.

81826408517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18713.

The product of its (nonzero) digits is 860160, while the sum is 50.

The spelling of 81826408517 in words is "eighty-one billion, eight hundred twenty-six million, four hundred eight thousand, five hundred seventeen".

Divisors: 1 7 71 79 113 497 553 791 5609 8023 8927 18443 39263 56161 62489 129101 633817 1309453 1456997 2084059 4436719 9166171 10198979 14588413 103446787 147968189 164640661 724127509 1035777323 1152484627 11689486931 81826408517