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11828345208318 = 2321788743579169
BaseRepresentation
bin1010110000100000000001…
…0100000111110111111110
31112212210000201022012020100
42230020000110013313332
53022243422333131233
641053511120101530
72330366264241552
oct254100024076776
945783021265210
1011828345208318
113850411562201
1213b04b4a648a6
1367a53c987632
142cc6d026b862
15157a381a1813
hexac200507dfe

11828345208318 has 48 divisors (see below), whose sum is σ = 27166208677920. Its totient is φ = 3706669713408.

The previous prime is 11828345208311. The next prime is 11828345208373. The reversal of 11828345208318 is 81380254382811.

It is a happy number.

11828345208318 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 8 + 34 + 520 + 83 + 1 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11828345208311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21518163 + ... + 22061006.

It is an arithmetic number, because the mean of its divisors is an integer number (565962680790).

Almost surely, 211828345208318 is an apocalyptic number.

11828345208318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11828345208318 is an abundant number, since it is smaller than the sum of its proper divisors (15337863469602).

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

11828345208318 is a wasteful number, since it uses less digits than its factorization.

11828345208318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43580081 (or 43580078 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 11828345208318 in words is "eleven trillion, eight hundred twenty-eight billion, three hundred forty-five million, two hundred eight thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 887 1774 2661 5322 7983 15079 15966 30158 45237 90474 135711 271422 43579169 87158338 130737507 261475014 392212521 740845873 784425042 1481691746 2222537619 4445075238 6667612857 13335225714 38654722903 77309445806 115964168709 231928337418 347892506127 657130289351 695785012254 1314260578702 1971390868053 3942781736106 5914172604159 11828345208318