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18218384000 = 27531138649
BaseRepresentation
bin10000111101111001…
…100111101010000000
31202000200002210112222
4100331321213222000
5244302401242000
612211443110212
71213316465105
oct207571475200
952020083488
1018218384000
1177a9891603
123645372368
13194455359b
14c4b836aac
15719644a85
hex43de67a80

18218384000 has 64 divisors (see below), whose sum is σ = 45295497000. Its totient is φ = 7287347200.

The previous prime is 18218383991. The next prime is 18218384057. The reversal of 18218384000 is 48381281.

It can be written as a sum of positive squares in 4 ways, for example, as 3351946816 + 14866437184 = 57896^2 + 121928^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 553325 + ... + 585324.

Almost surely, 218218384000 is an apocalyptic number.

18218384000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18218384000 is an abundant number, since it is smaller than the sum of its proper divisors (27077113000).

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

18218384000 is an equidigital number, since it uses as much as digits as its factorization.

18218384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138678 (or 1138656 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The spelling of 18218384000 in words is "eighteen billion, two hundred eighteen million, three hundred eighty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 1138649 2277298 4554596 5693245 9109192 11386490 18218384 22772980 28466225 36436768 45545960 56932450 72873536 91091920 113864900 142331125 145747072 182183840 227729800 284662250 364367680 455459600 569324500 728735360 910919200 1138649000 1821838400 2277298000 3643676800 4554596000 9109192000 18218384000