| Base | Representation |
|---|---|
| bin | 1111110000001110111… |
| … | …01001011010000000000 |
| 3 | 1220202011111110020000000 |
| 4 | 13320013131023100000 |
| 5 | 32332030441434224 |
| 6 | 1052355440000000 |
| 7 | 54051460212420 |
| oct | 7700735132000 |
| 9 | 1822144406000 |
| 10 | 541290968064 |
| 11 | 1996187049a0 |
| 12 | 88aa5300000 |
| 13 | 3c0747c5262 |
| 14 | 1c2ad040480 |
| 15 | e130b240c9 |
| hex | 7e0774b400 |
541290968064 has 1408 divisors, whose sum is σ = 2098685276160. Its totient is φ = 135444234240.
The previous prime is 541290968063. The next prime is 541290968081. The reversal of 541290968064 is 460869092145.
541290968064 is a `hidden beast` number, since 5 + 412 + 9 + 0 + 96 + 80 + 64 = 666.
It is a tau number, because it is divible by the number of its divisors (1408).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 541290968064.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (541290968063) 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 127 ways as a sum of consecutive naturals, for example, 7414944732 + ... + 7414944804.
It is an arithmetic number, because the mean of its divisors is an integer number (1490543520).
Almost surely, 2541290968064 is an apocalyptic number.
541290968064 is a gapful number since it is divisible by the number (54) 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 541290968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049342638080).
541290968064 is an abundant number, since it is smaller than the sum of its proper divisors (1557394308096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
541290968064 is an equidigital number, since it uses as much as digits as its factorization.
541290968064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 175 (or 139 counting only the distinct ones).
The product of its (nonzero) digits is 3732480, while the sum is 54.
The spelling of 541290968064 in words is "five hundred forty-one billion, two hundred ninety million, nine hundred sixty-eight thousand, sixty-four".
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