| Base | Representation |
|---|---|
| bin | 1110110011100110… |
| … | …1111100110000000 |
| 3 | 101020222211120111200 |
| 4 | 3230321233212000 |
| 5 | 31114441411003 |
| 6 | 1454220341200 |
| 7 | 200331126600 |
| oct | 35471574600 |
| 9 | 11228746450 |
| 10 | 3974560128 |
| 11 | 175a598940 |
| 12 | 92b0a4800 |
| 13 | 4b4585236 |
| 14 | 299c10c00 |
| 15 | 183dec6a3 |
| hex | ece6f980 |
3974560128 has 576 divisors, whose sum is σ = 14992445520. Its totient is φ = 998645760.
The previous prime is 3974560099. The next prime is 3974560147. The reversal of 3974560128 is 8210654793.
3974560128 is a `hidden beast` number, since 3 + 9 + 74 + 560 + 12 + 8 = 666.
3974560128 is digitally balanced in base 10, 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 (576).
It is a super-2 number, since 2×39745601282 = 31594256422174752768, which contains 22 as substring.
3974560128 is strictly pandigital in base 10.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22974250 + ... + 22974422.
It is a 1-persistent number, because it is pandigital, but 2⋅3974560128 = 7949120256 is not.
Almost surely, 23974560128 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3974560128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7496222760).
3974560128 is an abundant number, since it is smaller than the sum of its proper divisors (11017885392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3974560128 is a wasteful number, since it uses less digits than its factorization.
3974560128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 255 (or 233 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 3974560128 is about 63044.1125562094. The cubic root of 3974560128 is about 1584.0286190115.
The spelling of 3974560128 in words is "three billion, nine hundred seventy-four million, five hundred sixty thousand, one hundred twenty-eight".
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