| Base | Representation |
|---|---|
| bin | 1001101110011100000011101… |
| … | …0010111100100000100000000 |
| 3 | 10022202011220212210220201000000 |
| 4 | 2123213000322113210010000 |
| 5 | 1204200323123001210001 |
| 6 | 10423315005444000000 |
| 7 | 264103460660060400 |
| oct | 23347007227440400 |
| 9 | 3282156783821000 |
| 10 | 684378248069376 |
| 11 | 189078204370683 |
| 12 | 6491110a690000 |
| 13 | 234b479046b623 |
| 14 | c1001264ba800 |
| 15 | 541c3aea2da86 |
| hex | 26e703a5e4100 |
684378248069376 has 1701 divisors, whose sum is σ = 2453743827556749. Its totient is φ = 189863344742400.
The previous prime is 684378248069359. The next prime is 684378248069419. The reversal of 684378248069376 is 673960842873486.
The square root of 684378248069376 is 26160624.
It is a perfect power (a square), and thus also a powerful number.
684378248069376 is a `hidden beast` number, since 6 + 8 + 4 + 3 + 7 + 8 + 2 + 480 + 69 + 3 + 76 = 666.
It can be written as a sum of positive squares in only one way, i.e., 32977179115776 + 651401068953600 = 5742576^2 + 25522560^2 .
It is a tau number, because it is divible by the number of its divisors (1701).
It is a Harshad number since it is a multiple of its sum of digits (81).
It is a junction number, because it is equal to n+sod(n) for n = 684378248069295 and 684378248069304.
It is an unprimeable number.
It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 3243498805911 + ... + 3243498806121.
Almost surely, 2684378248069376 is an apocalyptic number.
684378248069376 is the 26160624-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 684378248069376
684378248069376 is an abundant number, since it is smaller than the sum of its proper divisors (1769365579487373).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
684378248069376 is an frugal number, since it uses more digits than its factorization.
684378248069376 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 552 (or 264 counting only the distinct ones).
The product of its (nonzero) digits is 14046068736, while the sum is 81.
684378248069376 divided by its sum of digits (81) gives a square (8449114173696 = 29067362).
The spelling of 684378248069376 in words is "six hundred eighty-four trillion, three hundred seventy-eight billion, two hundred forty-eight million, sixty-nine thousand, three hundred seventy-six".
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