| Base | Representation |
|---|---|
| bin | 100101011000111100110… |
| … | …0101000100110001000000 |
| 3 | 200012021012020122201100200 |
| 4 | 1022301321211010301000 |
| 5 | 1133143301041214000 |
| 6 | 14532424104445200 |
| 7 | 1040160523541334 |
| oct | 112617145046100 |
| 9 | 20167166581320 |
| 10 | 5138820648000 |
| 11 | 17013a8318026 |
| 12 | 6abb30779800 |
| 13 | 2b3786511130 |
| 14 | 13aa124db7c4 |
| 15 | 8da14b35500 |
| hex | 4ac79944c40 |
5138820648000 has 2016 divisors, whose sum is σ = 21268428461280. Its totient is φ = 1175924736000.
The previous prime is 5138820647923. The next prime is 5138820648001. The reversal of 5138820648000 is 8460288315.
It can be written as a sum of positive squares in 16 ways, for example, as 2951166666816 + 2187653981184 = 1717896^2 + 1479072^2 .
It is a super-2 number, since 2×51388206480002 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (5138820648001) 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 287 ways as a sum of consecutive naturals, for example, 26085383902 + ... + 26085384098.
It is an arithmetic number, because the mean of its divisors is an integer number (10549815705).
Almost surely, 25138820648000 is an apocalyptic number.
5138820648000 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 5138820648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10634214230640).
5138820648000 is an abundant number, since it is smaller than the sum of its proper divisors (16129607813280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5138820648000 is a wasteful number, since it uses less digits than its factorization.
5138820648000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 334 (or 280 counting only the distinct ones).
The product of its (nonzero) digits is 368640, while the sum is 45.
The spelling of 5138820648000 in words is "five trillion, one hundred thirty-eight billion, eight hundred twenty million, six hundred forty-eight thousand".
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