| Base | Representation |
|---|---|
| bin | 100111111010110001101… |
| … | …0110100100000000000000 |
| 3 | 201102111012110210211002100 |
| 4 | 1033311203112210000000 |
| 5 | 1204342011031033000 |
| 6 | 15400220112350400 |
| 7 | 1104242423240511 |
| oct | 117654326440000 |
| 9 | 21374173724070 |
| 10 | 5486340096000 |
| 11 | 182581aa569a5 |
| 12 | 747358245400 |
| 13 | 30a48a1cc3ba |
| 14 | 14d77c742a08 |
| 15 | 97aa4000a00 |
| hex | 4fd635a4000 |
5486340096000 has 720 divisors, whose sum is σ = 20944176205680. Its totient is φ = 1376885145600.
The previous prime is 5486340095897. The next prime is 5486340096007. The reversal of 5486340096000 is 6900436845.
5486340096000 is a `hidden beast` number, since 5 + 4 + 8 + 6 + 34 + 0 + 0 + 9 + 600 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 2895115862016 + 2591224233984 = 1701504^2 + 1609728^2 .
It is a tau number, because it is divible by the number of its divisors (720).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (5486340096007) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 313335246 + ... + 313352754.
It is an arithmetic number, because the mean of its divisors is an integer number (29089133619).
Almost surely, 25486340096000 is an apocalyptic number.
5486340096000 is a gapful number since it is divisible by the number (50) 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 5486340096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10472088102840).
5486340096000 is an abundant number, since it is smaller than the sum of its proper divisors (15457836109680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5486340096000 is a wasteful number, since it uses less digits than its factorization.
5486340096000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17575 (or 17536 counting only the distinct ones).
The product of its (nonzero) digits is 622080, while the sum is 45.
The spelling of 5486340096000 in words is "five trillion, four hundred eighty-six billion, three hundred forty million, ninety-six thousand".
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