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12808852290 = 23251373149969
BaseRepresentation
bin10111110110111011…
…11001001101000010
31020001200010010002200
423323131321031002
5202213031233130
65515002054030
7632262306453
oct137335711502
936050103080
1012808852290
115483299343
1225957aa316
1312918c6a50
1489720d12a
154ee795760
hex2fb779342

12808852290 has 96 divisors (see below), whose sum is σ = 36356327280. Its totient is φ = 3109736448.

The previous prime is 12808852279. The next prime is 12808852291. The reversal of 12808852290 is 9225880821.

12808852290 is a `hidden beast` number, since 1 + 280 + 8 + 85 + 2 + 290 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 555026481 + 12253825809 = 23559^2 + 110697^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12808852291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10426 + ... + 160394.

Almost surely, 212808852290 is an apocalyptic number.

12808852290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12808852290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18178163640).

12808852290 is an abundant number, since it is smaller than the sum of its proper divisors (23547474990).

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

12808852290 is a wasteful number, since it uses less digits than its factorization.

12808852290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150068 (or 150065 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 12808852290 in words is "twelve billion, eight hundred eight million, eight hundred fifty-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 73 78 90 117 130 146 195 219 234 365 390 438 585 657 730 949 1095 1170 1314 1898 2190 2847 3285 4745 5694 6570 8541 9490 14235 17082 28470 42705 85410 149969 299938 449907 749845 899814 1349721 1499690 1949597 2249535 2699442 3899194 4499070 5848791 6748605 9747985 10947737 11697582 13497210 17546373 19495970 21895474 29243955 32843211 35092746 54738685 58487910 65686422 87731865 98529633 109477370 142320581 164216055 175463730 197059266 284641162 328432110 426961743 492648165 711602905 853923486 985296330 1280885229 1423205810 2134808715 2561770458 4269617430 6404426145 12808852290