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8445685768 = 2313219931391
BaseRepresentation
bin1111101110110011…
…01111000000001000
3210210121001021211121
413313121233000020
5114244043421033
63514020205024
7416202100402
oct76731570010
923717037747
108445685768
1136444077a3
121778539774
13a4798c200
145a1961b72
153466d562d
hex1f766f008

8445685768 has 48 divisors (see below), whose sum is σ = 17234208000. Its totient is φ = 3878297280.

The previous prime is 8445685753. The next prime is 8445685769. The reversal of 8445685768 is 8675865448.

It is not an unprimeable number, because it can be changed into a prime (8445685769) 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 11 ways as a sum of consecutive naturals, for example, 253353 + ... + 284743.

It is an arithmetic number, because the mean of its divisors is an integer number (359046000).

Almost surely, 28445685768 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 8445685768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8617104000).

8445685768 is an abundant number, since it is smaller than the sum of its proper divisors (8788522232).

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

8445685768 is a wasteful number, since it uses less digits than its factorization.

8445685768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31622 (or 31605 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 61.

The square root of 8445685768 is about 91900.4122297610. The cubic root of 8445685768 is about 2036.4713579625.

The spelling of 8445685768 in words is "eight billion, four hundred forty-five million, six hundred eighty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 169 199 338 398 676 796 1352 1592 2587 5174 10348 20696 31391 33631 62782 67262 125564 134524 251128 269048 408083 816166 1632332 3264664 5305079 6246809 10610158 12493618 21220316 24987236 42440632 49974472 81208517 162417034 324834068 649668136 1055710721 2111421442 4222842884 8445685768