| Base | Representation |
|---|---|
| bin | 111011110101111111… |
| … | …0101101001110100000 |
| 3 | 110021201022010201000000 |
| 4 | 1313223332231032200 |
| 5 | 4101143330314040 |
| 6 | 135012122300000 |
| 7 | 12166450425330 |
| oct | 1675376551640 |
| 9 | 407638121000 |
| 10 | 128513135520 |
| 11 | 4a558350910 |
| 12 | 20aa6957600 |
| 13 | c170b31373 |
| 14 | 6311c250c0 |
| 15 | 3522561130 |
| hex | 1debfad3a0 |
128513135520 has 1344 divisors, whose sum is σ = 583042924800. Its totient is φ = 25978060800.
The previous prime is 128513135507. The next prime is 128513135533. The reversal of 128513135520 is 25531315821.
128513135520 is a `hidden beast` number, since 1 + 2 + 8 + 513 + 135 + 5 + 2 + 0 = 666.
128513135520 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (128513135507) and next prime (128513135533).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
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 223 ways as a sum of consecutive naturals, for example, 368232306 + ... + 368232654.
It is an arithmetic number, because the mean of its divisors is an integer number (433811700).
Almost surely, 2128513135520 is an apocalyptic number.
128513135520 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 128513135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291521462400).
128513135520 is an abundant number, since it is smaller than the sum of its proper divisors (454529789280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128513135520 is a wasteful number, since it uses less digits than its factorization.
128513135520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 441 (or 418 counting only the distinct ones).
The product of its (nonzero) digits is 36000, while the sum is 36.
The spelling of 128513135520 in words is "one hundred twenty-eight billion, five hundred thirteen million, one hundred thirty-five thousand, five hundred twenty".
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