| Base | Representation |
|---|---|
| bin | 10111110110110011001000… |
| … | …11001010001010000000000 |
| 3 | 20212202011111111212100120000 |
| 4 | 23323121210121101100000 |
| 5 | 23334002412203233300 |
| 6 | 303323552031320000 |
| 7 | 14023065662122440 |
| oct | 1373314431212000 |
| 9 | 225664444770500 |
| 10 | 52460414899200 |
| 11 | 15796378630230 |
| 12 | 5a7321a980000 |
| 13 | 2336cc3cac939 |
| 14 | cd5151c72120 |
| 15 | 60e9383e1c00 |
| hex | 2fb664651400 |
52460414899200 has 2640 divisors, whose sum is σ = 245312375193600. Its totient is φ = 10760291942400.
The previous prime is 52460414899187. The next prime is 52460414899229. The reversal of 52460414899200 is 299841406425.
52460414899200 is a `hidden beast` number, since 5 + 2 + 4 + 60 + 414 + 89 + 92 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2640).
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12613706721 + ... + 12613710879.
It is an arithmetic number, because the mean of its divisors is an integer number (92921354240).
Almost surely, 252460414899200 is an apocalyptic number.
52460414899200 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 52460414899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122656187596800).
52460414899200 is an abundant number, since it is smaller than the sum of its proper divisors (192851960294400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
52460414899200 is a wasteful number, since it uses less digits than its factorization.
52460414899200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4298 (or 4266 counting only the distinct ones).
The product of its (nonzero) digits is 4976640, while the sum is 54.
The spelling of 52460414899200 in words is "fifty-two trillion, four hundred sixty billion, four hundred fourteen million, eight hundred ninety-nine thousand, two hundred".
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