| Base | Representation |
|---|---|
| bin | 100001010111010100100000… |
| … | …101001110111110000000000 |
| 3 | 201020120000200212112012220000 |
| 4 | 201113110200221313300000 |
| 5 | 123213124120002440013 |
| 6 | 1240030315520520000 |
| 7 | 42623323022124600 |
| oct | 4127244051676000 |
| 9 | 636500625465800 |
| 10 | 146738105515008 |
| 11 | 42834310121757 |
| 12 | 1455a9b2780000 |
| 13 | 63b546193a437 |
| 14 | 283423b11cc00 |
| 15 | 11e6edca44973 |
| hex | 857520a77c00 |
146738105515008 has 660 divisors, whose sum is σ = 509899449558312. Its totient is φ = 41911211704320.
The previous prime is 146738105515007. The next prime is 146738105515033. The reversal of 146738105515008 is 800515501837641.
146738105515008 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 3 + 81 + 0 + 5 + 51 + 500 + 8 = 666.
It is a super-3 number, since 3×1467381055150083 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (146738105515007) 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 59 ways as a sum of consecutive naturals, for example, 23625517023 + ... + 23625523233.
Almost surely, 2146738105515008 is an apocalyptic number.
146738105515008 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 146738105515008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254949724779156).
146738105515008 is an abundant number, since it is smaller than the sum of its proper divisors (363161344043304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146738105515008 is an equidigital number, since it uses as much as digits as its factorization.
146738105515008 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12070 (or 12036 counting only the distinct ones).
The product of its (nonzero) digits is 4032000, while the sum is 54.
The spelling of 146738105515008 in words is "one hundred forty-six trillion, seven hundred thirty-eight billion, one hundred five million, five hundred fifteen thousand, eight".
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