| Base | Representation |
|---|---|
| bin | 11000100011111101001000… |
| … | …11001111111100101000000 |
| 3 | 21002020111100012022211110000 |
| 4 | 30101332210121333211000 |
| 5 | 24034413004314242030 |
| 6 | 310512431333240000 |
| 7 | 14243144006104200 |
| oct | 1421764431774500 |
| 9 | 232214305284400 |
| 10 | 54011972024640 |
| 11 | 16234392133aa3 |
| 12 | 6083a70193000 |
| 13 | 241a3cb939956 |
| 14 | d4a29c962400 |
| 15 | 639e96bb1860 |
| hex | 311fa467f940 |
54011972024640 has 1680 divisors, whose sum is σ = 228783876330240. Its totient is φ = 12056418017280.
The previous prime is 54011972024611. The next prime is 54011972024693. The reversal of 54011972024640 is 4642027911045.
54011972024640 is a `hidden beast` number, since 5 + 4 + 0 + 119 + 72 + 0 + 2 + 464 + 0 = 666.
54011972024640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1680).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
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 239 ways as a sum of consecutive naturals, for example, 11764748745 + ... + 11764753335.
It is an arithmetic number, because the mean of its divisors is an integer number (136180878768).
Almost surely, 254011972024640 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 54011972024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114391938165120).
54011972024640 is an abundant number, since it is smaller than the sum of its proper divisors (174771904305600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54011972024640 is a wasteful number, since it uses less digits than its factorization.
54011972024640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4850 (or 4824 counting only the distinct ones).
The product of its (nonzero) digits is 483840, while the sum is 45.
Adding to 54011972024640 its reverse (4642027911045), we get a palindrome (58653999935685).
The spelling of 54011972024640 in words is "fifty-four trillion, eleven billion, nine hundred seventy-two million, twenty-four thousand, six hundred forty".
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