Base | Representation |
---|---|
bin | 1000011011100001101111… |
… | …10000011101111011100000 |
3 | 2102122012212002102222202100 |
4 | 10031300313300131323200 |
5 | 4412211323130130140 |
6 | 103232125102450400 |
7 | 3622220163436611 |
oct | 415606760357340 |
9 | 72565762388670 |
10 | 18538014301920 |
11 | 59a7a228743a3 |
12 | 20b495b593a00 |
13 | a46186742309 |
14 | 48135d587c08 |
15 | 222339ed8530 |
hex | 10dc37c1dee0 |
18538014301920 has 288 divisors, whose sum is σ = 65452516365600. Its totient is φ = 4772267200512.
The previous prime is 18538014301907. The next prime is 18538014301927. The reversal of 18538014301920 is 2910341083581.
18538014301920 is a `hidden beast` number, since 1 + 8 + 53 + 80 + 1 + 430 + 1 + 92 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (18538014301927) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301434694 + ... + 301496186.
It is an arithmetic number, because the mean of its divisors is an integer number (227265681825).
Almost surely, 218538014301920 is an apocalyptic number.
18538014301920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 18538014301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32726258182800).
18538014301920 is an abundant number, since it is smaller than the sum of its proper divisors (46914502063680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18538014301920 is a wasteful number, since it uses less digits than its factorization.
18538014301920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 68762 (or 68751 counting only the distinct ones).
The product of its (nonzero) digits is 207360, while the sum is 45.
The spelling of 18538014301920 in words is "eighteen trillion, five hundred thirty-eight billion, fourteen million, three hundred one thousand, nine hundred twenty".
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