Base | Representation |
---|---|
bin | 110010100101010010… |
… | …100010100000000000 |
3 | 12012012010221102221100 |
4 | 302211102202200000 |
5 | 1342213023124341 |
6 | 40541221454400 |
7 | 3631630254513 |
oct | 624522424000 |
9 | 165163842840 |
10 | 54312708096 |
11 | 21041120519 |
12 | a639271400 |
13 | 51773bb5ca |
14 | 28b3404d7a |
15 | 162d2d93b6 |
hex | ca54a2800 |
54312708096 has 144 divisors (see below), whose sum is σ = 165122193600. Its totient is φ = 17151270912.
The previous prime is 54312708089. The next prime is 54312708101. The reversal of 54312708096 is 69080721345.
54312708096 is a `hidden beast` number, since 543 + 1 + 27 + 0 + 80 + 9 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 272665 + ... + 427751.
It is an arithmetic number, because the mean of its divisors is an integer number (1146681900).
It is a 1-persistent number, because it is pandigital, but 2⋅54312708096 = 108625416192 is not.
Almost surely, 254312708096 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 54312708096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82561096800).
54312708096 is an abundant number, since it is smaller than the sum of its proper divisors (110809485504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54312708096 is a wasteful number, since it uses less digits than its factorization.
54312708096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 155134 (or 155111 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The spelling of 54312708096 in words is "fifty-four billion, three hundred twelve million, seven hundred eight thousand, ninety-six".
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