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18382746382020 = 22325213747789597
BaseRepresentation
bin1000010111000000100010…
…00100010110111011000100
32102002101002012110102022100
410023200101010112323010
54402140331033211040
6103032530032232100
73605052410052366
oct413402104267304
972071065412270
1018382746382020
115948096106039
12208a84869b630
13a346409891b7
14477a30312d36
1521d29dbcdb30
hex10b811116ec4

18382746382020 has 72 divisors (see below), whose sum is σ = 55787091646104. Its totient is φ = 4899771698688.

The previous prime is 18382746382019. The next prime is 18382746382069. The reversal of 18382746382020 is 2028364728381.

18382746382020 is a `hidden beast` number, since 1 + 8 + 3 + 82 + 7 + 463 + 82 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 264426322176 + 18118320059844 = 514224^2 + 4256562^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23510139 + ... + 24279458.

It is an arithmetic number, because the mean of its divisors is an integer number (774820717307).

Almost surely, 218382746382020 is an apocalyptic number.

18382746382020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18382746382020 is an abundant number, since it is smaller than the sum of its proper divisors (37404345264084).

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

18382746382020 is a wasteful number, since it uses less digits than its factorization.

18382746382020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47791749 (or 47791744 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 18382746382020 in words is "eighteen trillion, three hundred eighty-two billion, seven hundred forty-six million, three hundred eighty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2137 4274 6411 8548 10685 12822 19233 21370 25644 32055 38466 42740 64110 76932 96165 128220 192330 384660 47789597 95579194 143368791 191158388 238947985 286737582 430106373 477895970 573475164 716843955 860212746 955791940 1433687910 1720425492 2150531865 2867375820 4301063730 8602127460 102126368789 204252737578 306379106367 408505475156 510631843945 612758212734 919137319101 1021263687890 1225516425468 1531895531835 1838274638202 2042527375780 3063791063670 3676549276404 4595686595505 6127582127340 9191373191010 18382746382020