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18082788728081 = 7111721067655727
BaseRepresentation
bin1000001110010001110100…
…01100101101110100010001
32101000200211122012210102212
410013020322030231310101
54332232022403244311
6102243041330521505
73544303235055650
oct407107214556421
971020748183385
1018082788728081
11584195a901a90
122040695436295
13a12279865c3c
144672d6a75197
152155950d6c8b
hex10723a32dd11

18082788728081 has 32 divisors (see below), whose sum is σ = 23872108326912. Its totient is φ = 13260982959360.

The previous prime is 18082788728021. The next prime is 18082788728117.

18082788728081 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-18082788728081 is a prime.

It is a super-2 number, since 2×180827887280812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18082788728021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27248840 + ... + 27904566.

It is an arithmetic number, because the mean of its divisors is an integer number (746003385216).

Almost surely, 218082788728081 is an apocalyptic number.

18082788728081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18082788728081 is a deficient number, since it is larger than the sum of its proper divisors (5789319598831).

18082788728081 is a wasteful number, since it uses less digits than its factorization.

18082788728081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676829.

The product of its (nonzero) digits is 51380224, while the sum is 68.

The spelling of 18082788728081 in words is "eighteen trillion, eighty-two billion, seven hundred eighty-eight million, seven hundred twenty-eight thousand, eighty-one".

Divisors: 1 7 11 17 77 119 187 1309 21067 147469 231737 358139 655727 1622159 2506973 3939529 4590089 7212997 11147359 27576703 50490979 78031513 122620949 858346643 13814200709 96699404963 151956207799 234841412053 1063693454593 1643889884371 2583255532583 18082788728081