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82386705726 = 23213523673193
BaseRepresentation
bin100110010111010100…
…0010101110100111110
321212122200010021202100
41030232220111310332
52322211444040401
6101503053005530
75644422305223
oct1145650256476
9255580107670
1082386705726
1131a38169456
1213b731838a6
1379cc747620
143db7b3794a
152222cbab86
hex132ea15d3e

82386705726 has 48 divisors (see below), whose sum is σ = 192603496176. Its totient is φ = 25301248128.

The previous prime is 82386705721. The next prime is 82386705763. The reversal of 82386705726 is 62750768328.

82386705726 is a `hidden beast` number, since 8 + 2 + 3 + 8 + 67 + 0 + 572 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82386705721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214215 + ... + 458978.

It is an arithmetic number, because the mean of its divisors is an integer number (4012572837).

Almost surely, 282386705726 is an apocalyptic number.

82386705726 is an abundant number, since it is smaller than the sum of its proper divisors (110216790450).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82386705726 is a wasteful number, since it uses less digits than its factorization.

82386705726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673737 (or 673734 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 82386705726 in words is "eighty-two billion, three hundred eighty-six million, seven hundred five thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 523 1046 1569 3138 4707 6799 9414 13598 20397 40794 61191 122382 673193 1346386 2019579 4039158 6058737 8751509 12117474 17503018 26254527 52509054 78763581 157527162 352079939 704159878 1056239817 2112479634 3168719451 4577039207 6337438902 9154078414 13731117621 27462235242 41193352863 82386705726