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82114819722 = 232133229108677
BaseRepresentation
bin100110001111001101…
…1001011011010001010
321211221201112001021100
41030132123023122022
52321132343212342
6101420101322230
75634611310525
oct1143633133212
9254851461240
1082114819722
1131908747481
1213ab8106376
137988311230
143d8d9a1bbc
152208eb1e4c
hex131e6cb68a

82114819722 has 48 divisors (see below), whose sum is σ = 191662347240. Its totient is φ = 25258041216.

The previous prime is 82114819649. The next prime is 82114819741. The reversal of 82114819722 is 22791841128.

82114819722 is a `hidden beast` number, since 82 + 1 + 1 + 481 + 97 + 2 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66776244921 + 15338574801 = 258411^2 + 123849^2 .

It is an unprimeable number.

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, 701248 + ... + 809924.

Almost surely, 282114819722 is an apocalyptic number.

82114819722 is an abundant number, since it is smaller than the sum of its proper divisors (109547527518).

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

82114819722 is a wasteful number, since it uses less digits than its factorization.

82114819722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111927 (or 111924 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The spelling of 82114819722 in words is "eighty-two billion, one hundred fourteen million, eight hundred nineteen thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 3229 6458 9687 19374 29061 41977 58122 83954 108677 125931 217354 251862 326031 377793 652062 755586 978093 1412801 1956186 2825602 4238403 8476806 12715209 25430418 350918033 701836066 1052754099 2105508198 3158262297 4561934429 6316524594 9123868858 13685803287 27371606574 41057409861 82114819722