Base | Representation |
---|---|
bin | 110011100111010010… |
… | …001000000101100000 |
3 | 12022001022022102102200 |
4 | 303213102020011200 |
5 | 1401444443134120 |
6 | 41243132413200 |
7 | 4001233226166 |
oct | 634722100540 |
9 | 168038272380 |
10 | 55419896160 |
11 | 2155a0a5282 |
12 | a8a8017200 |
13 | 52c28b7c85 |
14 | 297a495236 |
15 | 16955dee90 |
hex | ce7488160 |
55419896160 has 288 divisors, whose sum is σ = 199519407360. Its totient is φ = 13969511424.
The previous prime is 55419896137. The next prime is 55419896173. The reversal of 55419896160 is 6169891455.
55419896160 is a `hidden beast` number, since 5 + 5 + 4 + 19 + 8 + 9 + 616 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a junction number, because it is equal to n+sod(n) for n = 55419896097 and 55419896106.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13760067 + ... + 13764093.
It is an arithmetic number, because the mean of its divisors is an integer number (692775720).
Almost surely, 255419896160 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 55419896160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99759703680).
55419896160 is an abundant number, since it is smaller than the sum of its proper divisors (144099511200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55419896160 is a wasteful number, since it uses less digits than its factorization.
55419896160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4570 (or 4559 counting only the distinct ones).
The product of its (nonzero) digits is 2332800, while the sum is 54.
The spelling of 55419896160 in words is "fifty-five billion, four hundred nineteen million, eight hundred ninety-six thousand, one hundred sixty".
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