Search a number
-
+
18383730720768 = 2143472968239
BaseRepresentation
bin1000010111000010010111…
…01111010100000000000000
32102002110121210200000020000
410023201023233110000000
54402144340031031033
6103033211434120000
73605115661564560
oct413411357240000
972073553600200
1018383730720768
115948550802336
12208aa82280000
13a347698a1a6a
14477ac4d44da0
1521d30a319a13
hex10b84bbd4000

18383730720768 has 600 divisors, whose sum is σ = 64934023123200. Its totient is φ = 5071299674112.

The previous prime is 18383730720701. The next prime is 18383730720769. The reversal of 18383730720768 is 86702703738381.

18383730720768 is a `hidden beast` number, since 1 + 8 + 38 + 37 + 307 + 207 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18383730720769) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 269367993 + ... + 269436231.

It is an arithmetic number, because the mean of its divisors is an integer number (108223371872).

Almost surely, 218383730720768 is an apocalyptic number.

18383730720768 is a gapful number since it is divisible by the number (18) 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 18383730720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32467011561600).

18383730720768 is an abundant number, since it is smaller than the sum of its proper divisors (46550292402432).

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

18383730720768 is an frugal number, since it uses more digits than its factorization.

18383730720768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68315 (or 68280 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 18383730720768 in words is "eighteen trillion, three hundred eighty-three billion, seven hundred thirty million, seven hundred twenty thousand, seven hundred sixty-eight".