| Base | Representation |
|---|---|
| bin | 100110010000011101101… |
| … | …1010001000111100000000 |
| 3 | 200121122220121122112202000 |
| 4 | 1030200323122020330000 |
| 5 | 1142121424342202100 |
| 6 | 15103301514024000 |
| 7 | 1051611023224152 |
| oct | 114407332107400 |
| 9 | 20548817575660 |
| 10 | 5258036678400 |
| 11 | 1747a146a0190 |
| 12 | 70b061a18000 |
| 13 | 2c1aa5168c5c |
| 14 | 1426c168cad2 |
| 15 | 91b90d7d900 |
| hex | 4c83b688f00 |
5258036678400 has 3456 divisors, whose sum is σ = 23913269452800. Its totient is φ = 1114767360000.
The previous prime is 5258036678351. The next prime is 5258036678471. The reversal of 5258036678400 is 48766308525.
5258036678400 is a `hidden beast` number, since 52 + 580 + 3 + 6 + 6 + 7 + 8 + 4 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (3456).
It is a super-2 number, since 2×52580366784002 (a number of 26 digits) contains 22 as substring.
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 (17) of ones.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29049926310 + ... + 29049926490.
It is an arithmetic number, because the mean of its divisors is an integer number (6919348800).
Almost surely, 25258036678400 is an apocalyptic number.
5258036678400 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 5258036678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11956634726400).
5258036678400 is an abundant number, since it is smaller than the sum of its proper divisors (18655232774400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5258036678400 is a wasteful number, since it uses less digits than its factorization.
5258036678400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 304 (or 279 counting only the distinct ones).
The product of its (nonzero) digits is 9676800, while the sum is 54.
The spelling of 5258036678400 in words is "five trillion, two hundred fifty-eight billion, thirty-six million, six hundred seventy-eight thousand, four hundred".
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