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82134167841 = 32111947991159
BaseRepresentation
bin100110001111110010…
…0111111000100100001
321212000001221000220100
41030133210333010201
52321202321332331
6101422032133013
75635234623165
oct1143744770441
9255001830810
1082134167841
1131918661a60
1213b02697169
13798c326a1b
143d9239aca5
15220aa34ae6
hex131f93f121

82134167841 has 48 divisors (see below), whose sum is σ = 136521216000. Its totient is φ = 47059405920.

The previous prime is 82134167839. The next prime is 82134167939. The reversal of 82134167841 is 14876143128.

It is not a de Polignac number, because 82134167841 - 21 = 82134167839 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82134167341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855420 + ... + 946578.

It is an arithmetic number, because the mean of its divisors is an integer number (2844192000).

Almost surely, 282134167841 is an apocalyptic number.

It is an amenable number.

82134167841 is a deficient number, since it is larger than the sum of its proper divisors (54387048159).

82134167841 is a wasteful number, since it uses less digits than its factorization.

82134167841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91674 (or 91671 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 82134167841 in words is "eighty-two billion, one hundred thirty-four million, one hundred sixty-seven thousand, eight hundred forty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 479 627 1437 1881 4311 5269 9101 15807 27303 47421 81909 91159 100111 273477 300333 820431 900999 1002749 1732021 3008247 5196063 9024741 15588189 19052231 43665161 57156693 130995483 171470079 392986449 480316771 829638059 1440950313 2488914177 4322850939 7466742531 9126018649 27378055947 82134167841