Base | Representation |
---|---|
bin | 1000100111001000110011… |
… | …10111101100000110000000 |
3 | 2111001100120020121220200000 |
4 | 10103210121313230012000 |
5 | 4440230330334240432 |
6 | 104135302400400000 |
7 | 3663102101152230 |
oct | 423443167540600 |
9 | 74040506556600 |
10 | 18936944836992 |
11 | 6041127747986 |
12 | 215a134616000 |
13 | a74991631370 |
14 | 4967a56b9cc0 |
15 | 22c8d7a7d57c |
hex | 113919dec180 |
18936944836992 has 1536 divisors, whose sum is σ = 71424909803520. Its totient is φ = 4861140148224.
The previous prime is 18936944836991. The next prime is 18936944837087. The reversal of 18936944836992 is 29963844963981.
18936944836992 is a `hidden beast` number, since 1 + 89 + 3 + 6 + 9 + 448 + 3 + 6 + 9 + 92 = 666.
It is a Harshad number since it is a multiple of its sum of digits (81).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (18936944836991) by changing a digit.
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 191 ways as a sum of consecutive naturals, for example, 37648001413 + ... + 37648001915.
It is an arithmetic number, because the mean of its divisors is an integer number (46500592320).
Almost surely, 218936944836992 is an apocalyptic number.
18936944836992 is a gapful number since it is divisible by the number (12) 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 18936944836992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712454901760).
18936944836992 is an abundant number, since it is smaller than the sum of its proper divisors (52487964966528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18936944836992 is a wasteful number, since it uses less digits than its factorization.
18936944836992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 882 (or 858 counting only the distinct ones).
The product of its digits is 4353564672, while the sum is 81.
The spelling of 18936944836992 in words is "eighteen trillion, nine hundred thirty-six billion, nine hundred forty-four million, eight hundred thirty-six thousand, nine hundred ninety-two".
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