| Base | Representation |
|---|---|
| bin | 11000110110001111100101… |
| … | …11110000100000000000000 |
| 3 | 21011110120022022101002110000 |
| 4 | 30123013302332010000000 |
| 5 | 24130211421430444000 |
| 6 | 312113233244240000 |
| 7 | 14336430641050611 |
| oct | 1433076276040000 |
| 9 | 234416268332400 |
| 10 | 54640355328000 |
| 11 | 164569321254a2 |
| 12 | 6165800540000 |
| 13 | 2464742a2b800 |
| 14 | d6c870651c08 |
| 15 | 64b4c375c000 |
| hex | 31b1f2f84000 |
54640355328000 has 1800 divisors, whose sum is σ = 220715254960200. Its totient is φ = 13443032678400.
The previous prime is 54640355327981. The next prime is 54640355328001. The reversal of 54640355328000 is 82355304645.
54640355328000 is a `hidden beast` number, since 5 + 4 + 6 + 4 + 0 + 35 + 532 + 80 + 0 + 0 = 666.
It can be written as a sum of positive squares in 12 ways, for example, as 48350772854784 + 6289582473216 = 6953472^2 + 2507904^2 .
It is a tau number, because it is divible by the number of its divisors (1800).
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 (54640355328001) by changing a digit.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28035071026 + ... + 28035072974.
It is an arithmetic number, because the mean of its divisors is an integer number (122619586089).
Almost surely, 254640355328000 is an apocalyptic number.
54640355328000 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 54640355328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110357627480100).
54640355328000 is an abundant number, since it is smaller than the sum of its proper divisors (166074899632200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54640355328000 is an equidigital number, since it uses as much as digits as its factorization.
54640355328000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2030 (or 1972 counting only the distinct ones).
The product of its (nonzero) digits is 1728000, while the sum is 45.
The spelling of 54640355328000 in words is "fifty-four trillion, six hundred forty billion, three hundred fifty-five million, three hundred twenty-eight thousand".
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