| Base | Representation |
|---|---|
| bin | 111011111010011111… |
| … | …1110110110110000000 |
| 3 | 110022002211211100202100 |
| 4 | 1313310333312312000 |
| 5 | 4102001043311000 |
| 6 | 135035125150400 |
| 7 | 12203265425046 |
| oct | 1676477666600 |
| 9 | 408084740670 |
| 10 | 128664432000 |
| 11 | 4a625799125 |
| 12 | 20b2955b400 |
| 13 | c196295400 |
| 14 | 6327d6a396 |
| 15 | 3530999a00 |
| hex | 1df4ff6d80 |
128664432000 has 1152 divisors, whose sum is σ = 531479257920. Its totient is φ = 29712384000.
The previous prime is 128664431993. The next prime is 128664432007. The reversal of 128664432000 is 234466821.
128664432000 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 6 + 443 + 200 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (128664431993) and next prime (128664432007).
It is a tau number, because it is divible by the number of its divisors (1152).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (128664432007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 413711845 + ... + 413712155.
Almost surely, 2128664432000 is an apocalyptic number.
128664432000 is a gapful number since it is divisible by the number (10) 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 128664432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265739628960).
128664432000 is an abundant number, since it is smaller than the sum of its proper divisors (402814825920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128664432000 is a wasteful number, since it uses less digits than its factorization.
128664432000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 389 (or 351 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
Adding to 128664432000 its reverse (234466821), we get a palindrome (128898898821).
The spelling of 128664432000 in words is "one hundred twenty-eight billion, six hundred sixty-four million, four hundred thirty-two thousand".
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