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84129015834 = 23229612642077
BaseRepresentation
bin100111001011001111…
…0101110100000011010
322001011002120210220100
41032112132232200122
52334244012001314
6102352012440230
76035536556433
oct1162636564032
9261132523810
1084129015834
11327516aa866
121437a779076
137c196b9056
1441012b448a
1522c5c2ac09
hex13967ae81a

84129015834 has 48 divisors (see below), whose sum is σ = 191656338120. Its totient is φ = 26632126080.

The previous prime is 84129015833. The next prime is 84129015889. The reversal of 84129015834 is 43851092148.

84129015834 is a `hidden beast` number, since 8 + 41 + 29 + 0 + 1 + 583 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54734942025 + 29394073809 = 233955^2 + 171447^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 84129015834.

It is not an unprimeable number, because it can be changed into a prime (84129015833) 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 23 ways as a sum of consecutive naturals, for example, 1289197 + ... + 1352880.

Almost surely, 284129015834 is an apocalyptic number.

84129015834 is an abundant number, since it is smaller than the sum of its proper divisors (107527322286).

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

84129015834 is a wasteful number, since it uses less digits than its factorization.

84129015834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642175 (or 2642172 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 84129015834 in words is "eighty-four billion, one hundred twenty-nine million, fifteen thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 58 61 87 122 174 183 261 366 522 549 1098 1769 3538 5307 10614 15921 31842 2642077 5284154 7926231 15852462 23778693 47557386 76620233 153240466 161166697 229860699 322333394 459721398 483500091 689582097 967000182 1379164194 1450500273 2901000546 4673834213 9347668426 14021502639 28043005278 42064507917 84129015834