Search a number
-
+
682866443808 = 253229894911871
BaseRepresentation
bin10011110111111100000…
…00110000011000100000
32102021121010200120011200
421323332000300120200
542142002302200213
61241412101441200
7100223032000443
oct11737600603040
92367533616150
10682866443808
1124366933a2aa
12b0416710200
134c5178b4503
142509d9bb65a
1512b69ced273
hex9efe030620

682866443808 has 288 divisors, whose sum is σ = 2036660371200. Its totient is φ = 216745267200.

The previous prime is 682866443807. The next prime is 682866443849. The reversal of 682866443808 is 808344668286.

It is a happy number.

682866443808 is a `hidden beast` number, since 68 + 2 + 86 + 64 + 438 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (682866443807) 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 47 ways as a sum of consecutive naturals, for example, 364973113 + ... + 364974983.

It is an arithmetic number, because the mean of its divisors is an integer number (7071737400).

Almost surely, 2682866443808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682866443808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018330185600).

682866443808 is an abundant number, since it is smaller than the sum of its proper divisors (1353793927392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

682866443808 is a wasteful number, since it uses less digits than its factorization.

682866443808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 682866443808 in words is "six hundred eighty-two billion, eight hundred sixty-six million, four hundred forty-three thousand, eight hundred eight".