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82586283021 = 351130896477
BaseRepresentation
bin100110011101010000…
…1101010110000001101
321220011120122212100000
41030322201222300031
52323114042024041
6101534542354513
75652364552224
oct1147241526015
9256146585300
1082586283021
113202a892870
1214009b8ba39
137a31bb43b8
143dd6449cbb
15223558ebb6
hex133a86ac0d

82586283021 has 24 divisors (see below), whose sum is σ = 134955815904. Its totient is φ = 50052291120.

The previous prime is 82586282993. The next prime is 82586283023. The reversal of 82586283021 is 12038268528.

It is not a de Polignac number, because 82586283021 - 26 = 82586282957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82586283023) 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 in 23 ways as a sum of consecutive naturals, for example, 15445566 + ... + 15450911.

It is an arithmetic number, because the mean of its divisors is an integer number (5623158996).

Almost surely, 282586283021 is an apocalyptic number.

82586283021 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

82586283021 is a deficient number, since it is larger than the sum of its proper divisors (52369532883).

82586283021 is a wasteful number, since it uses less digits than its factorization.

82586283021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30896503 (or 30896491 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 82586283021 in words is "eighty-two billion, five hundred eighty-six million, two hundred eighty-three thousand, twenty-one".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 30896477 92689431 278068293 339861247 834204879 1019583741 2502614637 3058751223 7507843911 9176253669 27528761007 82586283021