| Base | Representation |
|---|---|
| bin | 111011110011110001… |
| … | …0001110101110000000 |
| 3 | 110021112002210221220100 |
| 4 | 1313213202032232000 |
| 5 | 4101020232433124 |
| 6 | 135000500042400 |
| 7 | 12164553522000 |
| oct | 1674742165600 |
| 9 | 407462727810 |
| 10 | 128438561664 |
| 11 | 4a51a246426 |
| 12 | 20a85993400 |
| 13 | c15b550a1a |
| 14 | 6305d72000 |
| 15 | 351ac301c9 |
| hex | 1de788eb80 |
128438561664 has 384 divisors, whose sum is σ = 439218936000. Its totient is φ = 35998470144.
The previous prime is 128438561663. The next prime is 128438561689. The reversal of 128438561664 is 466165834821.
128438561664 is a `hidden beast` number, since 12 + 8 + 4 + 3 + 8 + 5 + 616 + 6 + 4 = 666.
128438561664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (384).
It is a self number, because there is not a number n which added to its sum of digits gives 128438561664.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (128438561663) 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 47 ways as a sum of consecutive naturals, for example, 20939142 + ... + 20945274.
Almost surely, 2128438561664 is an apocalyptic number.
128438561664 is a gapful number since it is divisible by the number (14) 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 128438561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219609468000).
128438561664 is an abundant number, since it is smaller than the sum of its proper divisors (310780374336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128438561664 is an equidigital number, since it uses as much as digits as its factorization.
128438561664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6227 (or 6198 counting only the distinct ones).
The product of its digits is 6635520, while the sum is 54.
The spelling of 128438561664 in words is "one hundred twenty-eight billion, four hundred thirty-eight million, five hundred sixty-one thousand, six hundred sixty-four".
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