| Base | Representation |
|---|---|
| bin | 111101001111011010100010… |
| … | …0011011110110011001000000 |
| 3 | 2121122022022212012211110110100 |
| 4 | 1322132311010123312121000 |
| 5 | 1031101214113243223401 |
| 6 | 5145402141522402400 |
| 7 | 221315235360045420 |
| oct | 17236650433663100 |
| 9 | 2548268765743410 |
| 10 | 538680241382976 |
| 11 | 1467050099942a0 |
| 12 | 504bba0ab00400 |
| 13 | 1a1764374a2854 |
| 14 | 970439717a480 |
| 15 | 4242498c59b86 |
| hex | 1e9ed446f6640 |
538680241382976 has 1344 divisors, whose sum is σ = 2176565872066560. Its totient is φ = 123043995648000.
The previous prime is 538680241382939. The next prime is 538680241382999. The reversal of 538680241382976 is 679283142086835.
538680241382976 is a `hidden beast` number, since 5 + 3 + 8 + 68 + 0 + 2 + 413 + 82 + 9 + 76 = 666.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a super-2 number, since 2×5386802413829762 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 677434261 + ... + 678228971.
It is a 2-persistent number, because it is pandigital, and so is 2⋅538680241382976 = 1077360482765952, but 3⋅538680241382976 = 1616040724148928 is not.
Almost surely, 2538680241382976 is an apocalyptic number.
538680241382976 is a gapful number since it is divisible by the number (56) 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 538680241382976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088282936033280).
538680241382976 is an abundant number, since it is smaller than the sum of its proper divisors (1637885630683584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
538680241382976 is a wasteful number, since it uses less digits than its factorization.
538680241382976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 794824 (or 794811 counting only the distinct ones).
The product of its (nonzero) digits is 836075520, while the sum is 72.
The spelling of 538680241382976 in words is "five hundred thirty-eight trillion, six hundred eighty billion, two hundred forty-one million, three hundred eighty-two thousand, nine hundred seventy-six".
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