| Base | Representation |
|---|---|
| bin | 1000010101110101100101… |
| … | …01010110000001000100000 |
| 3 | 2101221112012220200000121200 |
| 4 | 10022322302222300020200 |
| 5 | 4401010424010434233 |
| 6 | 103002233134121200 |
| 7 | 3602126305463100 |
| oct | 412726252601040 |
| 9 | 71845186600550 |
| 10 | 18342507905568 |
| 11 | 5932017585120 |
| 12 | 2082a98950200 |
| 13 | a308ca39a412 |
| 14 | 475ad41c9200 |
| 15 | 21c1e62dc313 |
| hex | 10aeb2ab0220 |
18342507905568 has 864 divisors, whose sum is σ = 66827600356608. Its totient is φ = 4718906035200.
The previous prime is 18342507905567. The next prime is 18342507905663. The reversal of 18342507905568 is 86550970524381.
18342507905568 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 2 + 5 + 0 + 79 + 0 + 556 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is not an unprimeable number, because it can be changed into a prime (18342507905567) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7435145871 + ... + 7435148337.
It is an arithmetic number, because the mean of its divisors is an integer number (77346759672).
It is a 1-persistent number, because it is pandigital, but 2⋅18342507905568 = 36685015811136 is not.
Almost surely, 218342507905568 is an apocalyptic number.
18342507905568 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 18342507905568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33413800178304).
18342507905568 is an abundant number, since it is smaller than the sum of its proper divisors (48485092451040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18342507905568 is a wasteful number, since it uses less digits than its factorization.
18342507905568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2946 (or 2928 counting only the distinct ones).
The product of its (nonzero) digits is 72576000, while the sum is 63.
The spelling of 18342507905568 in words is "eighteen trillion, three hundred forty-two billion, five hundred seven million, nine hundred five thousand, five hundred sixty-eight".
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