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12866818624 = 2611212892
BaseRepresentation
bin10111111101110110…
…00001001001000000
31020012201012002221221
423332323001021000
5202322401143444
65524432324424
7633565103512
oct137673011100
936181162857
1012866818624
115502a90300
1225b10a3714
1312a091115a
148a0bbbbb2
155048e5a84
hex2feec1240

12866818624 has 63 divisors (see below), whose sum is σ = 28086540601. Its totient is φ = 5844016640.

The previous prime is 12866818619. The next prime is 12866818667. The reversal of 12866818624 is 42681866821.

It is a happy number.

The square root of 12866818624 is 113432.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10438300224 + 2428518400 = 102168^2 + 49280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9981372 + ... + 9982660.

Almost surely, 212866818624 is an apocalyptic number.

12866818624 is the 113432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12866818624

12866818624 is an abundant number, since it is smaller than the sum of its proper divisors (15219721977).

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

12866818624 is an frugal number, since it uses more digits than its factorization.

12866818624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 1302 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 52.

The spelling of 12866818624 in words is "twelve billion, eight hundred sixty-six million, eight hundred eighteen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1289 1936 2578 3872 5156 7744 10312 14179 20624 28358 41248 56716 82496 113432 155969 226864 311938 453728 623876 907456 1247752 1661521 2495504 3323042 4991008 6646084 9982016 13292168 18276731 26584336 36553462 53168672 73106924 106337344 146213848 201044041 292427696 402088082 584855392 804176164 1169710784 1608352328 3216704656 6433409312 12866818624