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18130410081 = 327285348197
BaseRepresentation
bin10000111000101010…
…000001101001100001
31201210112120021000200
4100320222001221201
5244112341110311
612155021335413
71211200641300
oct207052015141
951715507020
1018130410081
117764164493
12361ba07569
13192c260904
14c3dc96437
15711a68556
hex438a81a61

18130410081 has 36 divisors (see below), whose sum is σ = 30500369172. Its totient is φ = 10347873984.

The previous prime is 18130410073. The next prime is 18130410101. The reversal of 18130410081 is 18001403181.

18130410081 is a `hidden beast` number, since 181 + 304 + 100 + 81 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7197825600 + 10932584481 = 84840^2 + 104559^2 .

It is not a de Polignac number, because 18130410081 - 23 = 18130410073 is a prime.

It is a super-2 number, since 2×181304100812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18130410041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 352075 + ... + 400271.

It is an arithmetic number, because the mean of its divisors is an integer number (847232477).

Almost surely, 218130410081 is an apocalyptic number.

It is an amenable number.

18130410081 is a deficient number, since it is larger than the sum of its proper divisors (12369959091).

18130410081 is a wasteful number, since it uses less digits than its factorization.

18130410081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49070 (or 49060 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 18130410081 in words is "eighteen billion, one hundred thirty million, four hundred ten thousand, eighty-one".

Divisors: 1 3 7 9 21 49 63 147 441 853 2559 5971 7677 17913 41797 48197 53739 125391 144591 337379 376173 433773 1012137 2361653 3036411 7084959 21254877 41112041 123336123 287784287 370008369 863352861 2014490009 2590058583 6043470027 18130410081