| Base | Representation |
|---|---|
| bin | 111011111110010001… |
| … | …1101100000101011001 |
| 3 | 110022102200111011210000 |
| 4 | 1313330203230011121 |
| 5 | 4102231031000000 |
| 6 | 135055455443213 |
| 7 | 12206365460301 |
| oct | 1677443540531 |
| 9 | 408380434700 |
| 10 | 128791265625 |
| 11 | 4a690348100 |
| 12 | 20b63b26509 |
| 13 | c1b66428a9 |
| 14 | 633ab44601 |
| 15 | 353bba0000 |
| hex | 1dfc8ec159 |
128791265625 has 315 divisors, whose sum is σ = 273766085593. Its totient is φ = 60291000000.
The previous prime is 128791265623. The next prime is 128791265627. The reversal of 128791265625 is 526562197821.
The square root of 128791265625 is 358875.
It is a perfect power (a square), and thus also a powerful number.
128791265625 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 9 + 1 + 2 + 6 + 5 + 625 = 666.
It is an interprime number because it is at equal distance from previous prime (128791265623) and next prime (128791265627).
It can be written as a sum of positive squares in 10 ways, for example, as 109139711769 + 19651553856 = 330363^2 + 140184^2 .
It is not a de Polignac number, because 128791265625 - 21 = 128791265623 is a prime.
Its product of digits (3628800) is a multiple of the sum of its prime divisors (48).
It is not an unprimeable number, because it can be changed into a prime (128791265623) by changing a digit.
It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 4441078111 + ... + 4441078139.
Almost surely, 2128791265625 is an apocalyptic number.
128791265625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
128791265625 is the 358875-th square number.
128791265625 is the 179438-th centered octagonal number.
It is an amenable number.
128791265625 is an abundant number, since it is smaller than the sum of its proper divisors (144974819968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128791265625 is an frugal number, since it uses more digits than its factorization.
128791265625 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 122 (or 48 counting only the distinct ones).
The product of its digits is 3628800, while the sum is 54.
The spelling of 128791265625 in words is "one hundred twenty-eight billion, seven hundred ninety-one million, two hundred sixty-five thousand, six hundred twenty-five".
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