| Base | Representation |
|---|---|
| bin | 10011110011100100100… |
| … | …00000110101010000000 |
| 3 | 2102001112201120001022100 |
| 4 | 21321302100012222000 |
| 5 | 42122202021010320 |
| 6 | 1240343300510400 |
| 7 | 100110650433255 |
| oct | 11716220065200 |
| 9 | 2361481501270 |
| 10 | 680521656960 |
| 11 | 242675809232 |
| 12 | aba813ab400 |
| 13 | 4c232b8aa82 |
| 14 | 24d1a41142c |
| 15 | 12a7e031790 |
| hex | 9e72406a80 |
680521656960 has 192 divisors, whose sum is σ = 2362912985160. Its totient is φ = 180469555200.
The previous prime is 680521656959. The next prime is 680521656961. The reversal of 680521656960 is 69656125086.
680521656960 is a `hidden beast` number, since 6 + 8 + 0 + 5 + 2 + 16 + 569 + 60 = 666.
It is an interprime number because it is at equal distance from previous prime (680521656959) and next prime (680521656961).
It can be written as a sum of positive squares in 4 ways, for example, as 197541135936 + 482980521024 = 444456^2 + 694968^2 .
It is a tau number, because it is divible by the number of its divisors (192).
It is a junction number, because it is equal to n+sod(n) for n = 680521656897 and 680521656906.
It is not an unprimeable number, because it can be changed into a prime (680521656961) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716190 + ... + 1368930.
Almost surely, 2680521656960 is an apocalyptic number.
680521656960 is a gapful number since it is divisible by the number (60) 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 680521656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181456492580).
680521656960 is an abundant number, since it is smaller than the sum of its proper divisors (1682391328200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
680521656960 is a wasteful number, since it uses less digits than its factorization.
680521656960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 652947 (or 652932 counting only the distinct ones).
The product of its (nonzero) digits is 4665600, while the sum is 54.
The spelling of 680521656960 in words is "six hundred eighty billion, five hundred twenty-one million, six hundred fifty-six thousand, nine hundred sixty".
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