Search a number
-
+
18784221531020 = 22511221659385199
BaseRepresentation
bin1000100010101100010101…
…10110100000101110001100
32110111202100200210010022022
410101112022312200232030
54430230041202443040
6103541204030105312
73646054343366351
oct421261266405614
973452320703268
1018784221531020
115a92386394740
12213461194b238
13a63462ac836a
1448d23838a628
15228949d636b5
hex11158ada0b8c

18784221531020 has 48 divisors (see below), whose sum is σ = 43033249728000. Its totient is φ = 6830577462720.

The previous prime is 18784221531007. The next prime is 18784221531059. The reversal of 18784221531020 is 2013512248781.

It is a super-3 number, since 3×187842215310203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 15 ways as a sum of consecutive naturals, for example, 48572381 + ... + 48957579.

It is an arithmetic number, because the mean of its divisors is an integer number (896526036000).

Almost surely, 218784221531020 is an apocalyptic number.

18784221531020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18784221531020 is an abundant number, since it is smaller than the sum of its proper divisors (24249028196980).

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

18784221531020 is a wasteful number, since it uses less digits than its factorization.

18784221531020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606878 (or 606876 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The spelling of 18784221531020 in words is "eighteen trillion, seven hundred eighty-four billion, two hundred twenty-one million, five hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 221659 385199 443318 770398 886636 1108295 1540796 1925995 2216590 2438249 3851990 4237189 4433180 4876498 7703980 8474378 9752996 12191245 16948756 21185945 24382490 42371890 48764980 84743780 85382825141 170765650282 341531300564 426914125705 853828251410 939211076551 1707656502820 1878422153102 3756844306204 4696055382755 9392110765510 18784221531020