Base | Representation |
---|---|
bin | 1000010111011011110101… |
… | …00111000000110010000000 |
3 | 2102010202220120112201200000 |
4 | 10023231322213000302000 |
5 | 4402410334401212221 |
6 | 103043352204400000 |
7 | 3606111525413424 |
oct | 413557247006200 |
9 | 72122816481600 |
10 | 18397401975936 |
11 | 5953326883725 |
12 | 2091658846000 |
13 | a35b3805a269 |
14 | 4786208c4b84 |
15 | 21d85a661e26 |
hex | 10bb7a9c0c80 |
18397401975936 has 384 divisors, whose sum is σ = 59263728451200. Its totient is φ = 5663561637888.
The previous prime is 18397401975847. The next prime is 18397401975941. The reversal of 18397401975936 is 63957910479381.
18397401975936 is a `hidden beast` number, since 1 + 8 + 397 + 40 + 197 + 5 + 9 + 3 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (72).
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 47 ways as a sum of consecutive naturals, for example, 20302980 + ... + 21189756.
It is an arithmetic number, because the mean of its divisors is an integer number (154332626175).
Almost surely, 218397401975936 is an apocalyptic number.
18397401975936 is a gapful number since it is divisible by the number (16) 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 18397401975936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29631864225600).
18397401975936 is an abundant number, since it is smaller than the sum of its proper divisors (40866326475264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18397401975936 is an equidigital number, since it uses as much as digits as its factorization.
18397401975936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 886858 (or 886834 counting only the distinct ones).
The product of its (nonzero) digits is 308629440, while the sum is 72.
The spelling of 18397401975936 in words is "eighteen trillion, three hundred ninety-seven billion, four hundred one million, nine hundred seventy-five thousand, nine hundred thirty-six".
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