| Base | Representation |
|---|---|
| bin | 1100001010101000… |
| … | …01100111000000000 |
| 3 | 121212012102022120000 |
| 4 | 12011110030320000 |
| 5 | 101334044221030 |
| 6 | 3000043320000 |
| 7 | 320600650521 |
| oct | 60524147000 |
| 9 | 17765368500 |
| 10 | 6531632640 |
| 11 | 2851a33305 |
| 12 | 1323520000 |
| 13 | 801277cb0 |
| 14 | 45d67a848 |
| 15 | 28364d860 |
| hex | 18550ce00 |
6531632640 has 400 divisors, whose sum is σ = 25204199328. Its totient is φ = 1607122944.
The previous prime is 6531632617. The next prime is 6531632647. The reversal of 6531632640 is 462361356.
6531632640 is a `hidden beast` number, since 6 + 5 + 3 + 1 + 6 + 3 + 2 + 640 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 6531632595 and 6531632604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (6531632647) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2694469 + ... + 2696891.
Almost surely, 26531632640 is an apocalyptic number.
6531632640 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 6531632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12602099664).
6531632640 is an abundant number, since it is smaller than the sum of its proper divisors (18672566688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6531632640 is a wasteful number, since it uses less digits than its factorization.
6531632640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2471 (or 2446 counting only the distinct ones).
The product of its (nonzero) digits is 77760, while the sum is 36.
The square root of 6531632640 is about 80818.5166901744. The cubic root of 6531632640 is about 1869.2780955272.
Adding to 6531632640 its reverse (462361356), we get a palindrome (6993993996).
The spelling of 6531632640 in words is "six billion, five hundred thirty-one million, six hundred thirty-two thousand, six hundred forty".
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