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81000000000018 = 232111741586931003
BaseRepresentation
bin10010011010101101001000…
…001110100001000000010010
3101121210112011021021110010200
4102122231020032201000102
541104101000000000033
6444134515235040030
723030025336636411
oct2232551016410022
9347715137243120
1081000000000018
11238999a8375050
129102414140016
13362736212aa68
1416005c6ddb478
15956ee11a0013
hex49ab483a1012

81000000000018 has 96 divisors (see below), whose sum is σ = 207660884663232. Its totient is φ = 22538150476800.

The previous prime is 81000000000013. The next prime is 81000000000053.

It is a happy number.

81000000000018 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×810000000000182 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

81000000000018 is a strobogrammatic number because it is the same when read upside-down.

It is a self number, because there is not a number n which added to its sum of digits gives 81000000000018.

It is not an unprimeable number, because it can be changed into a prime (81000000000013) 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 47 ways as a sum of consecutive naturals, for example, 293327496 + ... + 293603507.

It is an arithmetic number, because the mean of its divisors is an integer number (2163134215242).

Almost surely, 281000000000018 is an apocalyptic number.

81000000000018 is an abundant number, since it is smaller than the sum of its proper divisors (126660884663214).

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

81000000000018 is a wasteful number, since it uses less digits than its factorization.

81000000000018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586931080 (or 586931077 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Subtracting from 81000000000018 its sum of digits (18), we obtain a 4-th power (81000000000000 = 30004).

It can be divided in two parts, 810000000000 and 18, that added together give a palindrome (810000000018).

The spelling of 81000000000018 in words is "eighty-one trillion, eighteen", and thus it is an aban number and an uban number.

Divisors: 1 2 3 6 9 11 17 18 22 33 34 41 51 66 82 99 102 123 153 187 198 246 306 369 374 451 561 697 738 902 1122 1353 1394 1683 2091 2706 3366 4059 4182 6273 7667 8118 12546 15334 23001 46002 69003 138006 586931003 1173862006 1760793009 3521586018 5282379027 6456241033 9977827051 10564758054 12912482066 19368723099 19955654102 24064171123 29933481153 38737446198 48128342246 58106169297 59866962306 72192513369 89800443459 109756097561 116212338594 144385026738 179600886918 216577540107 219512195122 264705882353 329268292683 409090909091 433155080214 529411764706 658536585366 794117647059 818181818182 987804878049 1227272727273 1588235294118 1975609756098 2382352941177 2454545454546 3681818181819 4500000000001 4764705882354 7363636363638 9000000000002 13500000000003 27000000000006 40500000000009 81000000000018