Search a number
-
+
679768861060 = 225379137100537
BaseRepresentation
bin10011110010001010110…
…00011010100110000100
32101222121021001001110201
421321011120122212010
542114131312023220
61240140445500244
7100053206661112
oct11710530324604
92358537031421
10679768861060
11242319889563
12ab8b1271684
134c142c24803
1424c88452ab2
1512a37dd0d0a
hex9e4561a984

679768861060 has 48 divisors (see below), whose sum is σ = 1466271125424. Its totient is φ = 264527106048.

The previous prime is 679768861049. The next prime is 679768861067. The reversal of 679768861060 is 60168867976.

It can be written as a sum of positive squares in 8 ways, for example, as 42399751744 + 637369109316 = 205912^2 + 798354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 679768860983 and 679768861001.

It is not an unprimeable number, because it can be changed into a prime (679768861067) 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 15 ways as a sum of consecutive naturals, for example, 6711112 + ... + 6811648.

It is an arithmetic number, because the mean of its divisors is an integer number (30547315113).

Almost surely, 2679768861060 is an apocalyptic number.

It is an amenable number.

679768861060 is an abundant number, since it is smaller than the sum of its proper divisors (786502264364).

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

679768861060 is a wasteful number, since it uses less digits than its factorization.

679768861060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109720 (or 109718 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 64.

The spelling of 679768861060 in words is "six hundred seventy-nine billion, seven hundred sixty-eight million, eight hundred sixty-one thousand, sixty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 9137 18274 36548 45685 91370 100537 182740 201074 338069 402148 502685 676138 1005370 1352276 1690345 2010740 3380690 3719869 6761380 7439738 14879476 18599345 37198690 74397380 918606569 1837213138 3674426276 4593032845 9186065690 18372131380 33988443053 67976886106 135953772212 169942215265 339884430530 679768861060