| Base | Representation |
|---|---|
| bin | 111011101011011111… |
| … | …1111011110110010000 |
| 3 | 110020210202210021110100 |
| 4 | 1313112333323312100 |
| 5 | 4044433222323031 |
| 6 | 134513145532400 |
| 7 | 12154644452604 |
| oct | 1672677736620 |
| 9 | 406722707410 |
| 10 | 128161136016 |
| 11 | 4a397690431 |
| 12 | 20a08aa4100 |
| 13 | c115c28034 |
| 14 | 62bb197504 |
| 15 | 35016cede6 |
| hex | 1dd6ffbd90 |
128161136016 has 45 divisors (see below), whose sum is σ = 358685202369. Its totient is φ = 42718946688.
The previous prime is 128161136009. The next prime is 128161136017. The reversal of 128161136016 is 610631161821.
It is a happy number.
The square root of 128161136016 is 357996.
It is a perfect power (a square), and thus also a powerful number.
128161136016 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 611 + 36 + 0 + 1 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 54559616400 + 73601519616 = 233580^2 + 271296^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (128161136017) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4281036 + ... + 4310868.
Almost surely, 2128161136016 is an apocalyptic number.
128161136016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
128161136016 is the 357996-th square number.
It is an amenable number.
128161136016 is an abundant number, since it is smaller than the sum of its proper divisors (230524066353).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128161136016 is an frugal number, since it uses more digits than its factorization.
128161136016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 59680 (or 29838 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 36.
Multiplying 128161136016 by its sum of digits (36), we get a square (4613800896576 = 21479762).
128161136016 divided by its sum of digits (36) gives a square (3560031556 = 596662).
Adding to 128161136016 its reverse (610631161821), we get a palindrome (738792297837).
The spelling of 128161136016 in words is "one hundred twenty-eight billion, one hundred sixty-one million, one hundred thirty-six thousand, sixteen".
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