| Base | Representation |
|---|---|
| bin | 111000100000101011010000… |
| … | …010111011010111000000000 |
| 3 | 1012120222211001021112021020000 |
| 4 | 320200223100113122320000 |
| 5 | 230034003334234210111 |
| 6 | 2240331521302120000 |
| 7 | 103231065405604620 |
| oct | 7040532027327000 |
| 9 | 1176884037467200 |
| 10 | 248536073350656 |
| 11 | 722116140a2343 |
| 12 | 23a5bb58120000 |
| 13 | a88ab0ac9c060 |
| 14 | 45532d2870880 |
| 15 | 1daeed8754c56 |
| hex | e20ad05dae00 |
248536073350656 has 1600 divisors, whose sum is σ = 966088883020800. Its totient is φ = 61772890374144.
The previous prime is 248536073350619. The next prime is 248536073350679. The reversal of 248536073350656 is 656053370635842.
248536073350656 is a `hidden beast` number, since 2 + 4 + 8 + 5 + 3 + 6 + 0 + 73 + 3 + 506 + 56 = 666.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a junction number, because it is equal to n+sod(n) for n = 248536073350593 and 248536073350602.
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 159 ways as a sum of consecutive naturals, for example, 13839073005 + ... + 13839090963.
It is an arithmetic number, because the mean of its divisors is an integer number (603805551888).
Almost surely, 2248536073350656 is an apocalyptic number.
248536073350656 is a gapful number since it is divisible by the number (26) 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 248536073350656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483044441510400).
248536073350656 is an abundant number, since it is smaller than the sum of its proper divisors (717552809670144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
248536073350656 is a wasteful number, since it uses less digits than its factorization.
248536073350656 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18221 (or 18196 counting only the distinct ones).
The product of its (nonzero) digits is 326592000, while the sum is 63.
The spelling of 248536073350656 in words is "two hundred forty-eight trillion, five hundred thirty-six billion, seventy-three million, three hundred fifty thousand, six hundred fifty-six".
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