Base | Representation |
---|---|
bin | 110010110110111111… |
… | …111111110001001000 |
3 | 12012221212001011100022 |
4 | 302312333333301020 |
5 | 1343320104242003 |
6 | 41030514200012 |
7 | 3642165646100 |
oct | 626677776110 |
9 | 165855034308 |
10 | 54609837128 |
11 | 21183913a00 |
12 | a700883008 |
13 | 51c3b226c2 |
14 | 2900a6c200 |
15 | 164942c738 |
hex | cb6fffc48 |
54609837128 has 324 divisors, whose sum is σ = 139357391355. Its totient is φ = 19987672320.
The previous prime is 54609837109. The next prime is 54609837133. The reversal of 54609837128 is 82173890645.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 5 ways, for example, as 49656774244 + 4953062884 = 222838^2 + 70378^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=165242.
It is a super-2 number, since 2×546098371282 (a number of 22 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 54609837128.
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 80 ways as a sum of consecutive naturals, for example, 1475941526 + ... + 1475941562.
It is a 1-persistent number, because it is pandigital, but 2⋅54609837128 = 109219674256 is not.
Almost surely, 254609837128 is an apocalyptic number.
54609837128 is a gapful number since it is divisible by the number (58) 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 54609837128
54609837128 is an abundant number, since it is smaller than the sum of its proper divisors (84747554227).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54609837128 is a wasteful number, since it uses less digits than its factorization.
54609837128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 174 (or 86 counting only the distinct ones).
The product of its (nonzero) digits is 2903040, while the sum is 53.
The spelling of 54609837128 in words is "fifty-four billion, six hundred nine million, eight hundred thirty-seven thousand, one hundred twenty-eight".
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