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18372920110100 = 2252101218010901
BaseRepresentation
bin1000010110101110001110…
…11000000110110000010100
32102001102201101121002022022
410023113013120012300110
54402010220022010400
6103024223013152312
73604254042114323
oct413270730066024
972042641532268
1018372920110100
115943a0346a556
12208896592b698
13a33735c87c0a
1447737b2940ba
1521cdc61dab85
hex10b5c7606c14

18372920110100 has 54 divisors (see below), whose sum is σ = 40267892157402. Its totient is φ = 7276403600000.

The previous prime is 18372920110009. The next prime is 18372920110121. The reversal of 18372920110100 is 101102927381.

It can be written as a sum of positive squares in 9 ways, for example, as 1870362582544 + 16502557527556 = 1367612^2 + 4062334^2 .

It is a super-2 number, since 2×183729201101002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 7985351 + ... + 10025550.

Almost surely, 218372920110100 is an apocalyptic number.

18372920110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18372920110100 is an abundant number, since it is smaller than the sum of its proper divisors (21894972047302).

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

18372920110100 is a wasteful number, since it uses less digits than its factorization.

18372920110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18011117 (or 18011009 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 35.

The spelling of 18372920110100 in words is "eighteen trillion, three hundred seventy-two billion, nine hundred twenty million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 10201 20402 40804 51005 102010 204020 255025 510050 1020100 18010901 36021802 72043604 90054505 180109010 360218020 450272525 900545050 1801090100 1819101001 3638202002 7276404004 9095505005 18191010010 36382020020 45477525025 90955050050 181910100100 183729201101 367458402202 734916804404 918646005505 1837292011010 3674584022020 4593230027525 9186460055050 18372920110100