Base | Representation |
---|---|
bin | 10011100011101111011… |
… | …00101100101010000000 |
3 | 2101020121110000211111100 |
4 | 21301313230230222000 |
5 | 42002300403313003 |
6 | 1232420111214400 |
7 | 66360234064305 |
oct | 11616754545200 |
9 | 2336543024440 |
10 | 672023104128 |
11 | 23a004582752 |
12 | aa2ab217400 |
13 | 4b4aa27b49c |
14 | 2475184b0ac |
15 | 12732da6ba3 |
hex | 9c77b2ca80 |
672023104128 has 192 divisors, whose sum is σ = 1967943650400. Its totient is φ = 220072495104.
The previous prime is 672023104091. The next prime is 672023104141. The reversal of 672023104128 is 821401320276.
It is a happy number.
672023104128 is a `hidden beast` number, since 6 + 7 + 2 + 0 + 231 + 0 + 412 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 672023104092 and 672023104101.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29241250 + ... + 29264222.
Almost surely, 2672023104128 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 672023104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983971825200).
672023104128 is an abundant number, since it is smaller than the sum of its proper divisors (1295920546272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
672023104128 is a wasteful number, since it uses less digits than its factorization.
672023104128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23439 (or 23424 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The spelling of 672023104128 in words is "six hundred seventy-two billion, twenty-three million, one hundred four thousand, one hundred twenty-eight".
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