Search a number
-
+
682678646802 = 23411337292617
BaseRepresentation
bin10011110111100101101…
…00010111100000010010
32102021010001022111010000
421323302310113200102
542141111213144202
61241341312350430
7100215261516345
oct11736264274022
92367101274100
10682678646802
11243582331669
12b0383845416
134c4b7a10719
1425082a9445c
1512b585a491c
hex9ef2d17812

682678646802 has 40 divisors (see below), whose sum is σ = 1543243118076. Its totient is φ = 225545741568.

The previous prime is 682678646801. The next prime is 682678646833. The reversal of 682678646802 is 208646876286.

It is a happy number.

682678646802 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 641009998161 + 41668648641 = 800631^2 + 204129^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 682678646802.

It is not an unprimeable number, because it can be changed into a prime (682678646801) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18628003 + ... + 18664614.

Almost surely, 2682678646802 is an apocalyptic number.

682678646802 is an abundant number, since it is smaller than the sum of its proper divisors (860564471274).

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

682678646802 is a wasteful number, since it uses less digits than its factorization.

682678646802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37292744 (or 37292735 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 682678646802 in words is "six hundred eighty-two billion, six hundred seventy-eight million, six hundred forty-six thousand, eight hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 339 678 1017 2034 3051 6102 9153 18306 37292617 74585234 111877851 223755702 335633553 671267106 1006900659 2013801318 3020701977 4214065721 6041403954 8428131442 12642197163 25284394326 37926591489 75853182978 113779774467 227559548934 341339323401 682678646802