| Base | Representation |
|---|---|
| bin | 11000111111001111000101… |
| … | …11010101100110100000000 |
| 3 | 21012120002210211210102000000 |
| 4 | 30133213202322230310000 |
| 5 | 24200242203324001243 |
| 6 | 312511212032000000 |
| 7 | 14400646315364364 |
| oct | 1437474272546400 |
| 9 | 235502724712000 |
| 10 | 54949323656448 |
| 11 | 16565971750691 |
| 12 | 61b5669390000 |
| 13 | 248791189b930 |
| 14 | d7d7c08c32a4 |
| 15 | 65455843d5d3 |
| hex | 31f9e2eacd00 |
54949323656448 has 504 divisors, whose sum is σ = 178019970513672. Its totient is φ = 16819737329664.
The previous prime is 54949323656393. The next prime is 54949323656449. The reversal of 54949323656448 is 84465632394945.
54949323656448 is a `hidden beast` number, since 5 + 4 + 9 + 493 + 2 + 36 + 5 + 64 + 48 = 666.
54949323656448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 1380271104 + 54947943385344 = 37152^2 + 7412688^2 .
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (54949323656449) by changing a digit.
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 55 ways as a sum of consecutive naturals, for example, 468180940 + ... + 468298292.
Almost surely, 254949323656448 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 54949323656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89009985256836).
54949323656448 is an abundant number, since it is smaller than the sum of its proper divisors (123070646857224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54949323656448 is a wasteful number, since it uses less digits than its factorization.
54949323656448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 117593 (or 117564 counting only the distinct ones).
The product of its digits is 2687385600, while the sum is 72.
The spelling of 54949323656448 in words is "fifty-four trillion, nine hundred forty-nine billion, three hundred twenty-three million, six hundred fifty-six thousand, four hundred forty-eight".
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