| Base | Representation |
|---|---|
| bin | 11000111111001111110111… |
| … | …00001011000000000000000 |
| 3 | 21012120010212121112101120000 |
| 4 | 30133213323201120000000 |
| 5 | 24200244030012314000 |
| 6 | 312511321015320000 |
| 7 | 14400662460143322 |
| oct | 1437477341300000 |
| 9 | 235503777471500 |
| 10 | 54949736448000 |
| 11 | 16566063763029 |
| 12 | 61b5763680000 |
| 13 | 248797926b5a4 |
| 14 | d7d81d657612 |
| 15 | 65457e7cc000 |
| hex | 31f9fb858000 |
54949736448000 has 2560 divisors, whose sum is σ = 225635851584000. Its totient is φ = 13243436236800.
The previous prime is 54949736447999. The next prime is 54949736448001. The reversal of 54949736448000 is 84463794945.
It is a happy number.
54949736448000 is a `hidden beast` number, since 5 + 4 + 9 + 4 + 97 + 3 + 64 + 480 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (54949736447999) and next prime (54949736448001).
It is a tau number, because it is divible by the number of its divisors (2560).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (54949736448001) by changing a digit.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 144986111811 + ... + 144986112189.
It is an arithmetic number, because the mean of its divisors is an integer number (88139004525).
Almost surely, 254949736448000 is an apocalyptic number.
54949736448000 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 54949736448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112817925792000).
54949736448000 is an abundant number, since it is smaller than the sum of its proper divisors (170686115136000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54949736448000 is an equidigital number, since it uses as much as digits as its factorization.
54949736448000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 478 (or 431 counting only the distinct ones).
The product of its (nonzero) digits is 104509440, while the sum is 63.
The spelling of 54949736448000 in words is "fifty-four trillion, nine hundred forty-nine billion, seven hundred thirty-six million, four hundred forty-eight thousand".
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