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8685995868 = 22321170930937
BaseRepresentation
bin10000001011011100…
…11100011101011100
3211102100020022022200
420011232130131130
5120242103331433
63553523011500
7425150514054
oct100556343534
924370208280
108685995868
113758022290
121824b09b90
13a856bb234
145c5838564
1535c853613
hex205b9c75c

8685995868 has 72 divisors (see below), whose sum is σ = 23986850160. Its totient is φ = 2628322560.

The previous prime is 8685995867. The next prime is 8685995869.

8685995868 is nontrivially palindromic in base 10.

8685995868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8685995867) and next prime (8685995869).

It is a junction number, because it is equal to n+sod(n) for n = 8685995796 and 8685995805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8685995867) 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 23 ways as a sum of consecutive naturals, for example, 265296 + ... + 296232.

Almost surely, 28685995868 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 8685995868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11993425080).

8685995868 is an abundant number, since it is smaller than the sum of its proper divisors (15300854292).

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

8685995868 is a wasteful number, since it uses less digits than its factorization.

8685995868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31667 (or 31662 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 72.

The square root of 8685995868 is about 93198.6902697672. The cubic root of 8685995868 is about 2055.6059818024.

The spelling of 8685995868 in words is "eight billion, six hundred eighty-five million, nine hundred ninety-five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 709 1418 2127 2836 4254 6381 7799 8508 12762 15598 23397 25524 30937 31196 46794 61874 70191 92811 93588 123748 140382 185622 278433 280764 340307 371244 556866 680614 1020921 1113732 1361228 2041842 3062763 4083684 6125526 12251052 21934333 43868666 65802999 87737332 131605998 197408997 241277663 263211996 394817994 482555326 723832989 789635988 965110652 1447665978 2171498967 2895331956 4342997934 8685995868