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12827861388 = 2232418690963
BaseRepresentation
bin10111111001001100…
…11010000110001100
31020002222212212200100
423330212122012030
5202232413031023
65520521331100
7632613010536
oct137446320614
936088785610
1012827861388
115492aa2141
1225a0036a90
131295821134
1489995a856
1550129cc43
hex2fc99a18c

12827861388 has 36 divisors (see below), whose sum is σ = 33216864408. Its totient is φ = 4171661760.

The previous prime is 12827861383. The next prime is 12827861393. The reversal of 12827861388 is 88316872821.

12827861388 is a `hidden beast` number, since 12 + 8 + 2 + 7 + 8 + 613 + 8 + 8 = 666.

12827861388 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 (12827861383) and next prime (12827861393).

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (12827861383) 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, 4344006 + ... + 4346957.

It is an arithmetic number, because the mean of its divisors is an integer number (922690678).

Almost surely, 212827861388 is an apocalyptic number.

12827861388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12827861388 is an abundant number, since it is smaller than the sum of its proper divisors (20389003020).

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

12827861388 is a wasteful number, since it uses less digits than its factorization.

12827861388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8691014 (or 8691009 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 12827861388 in words is "twelve billion, eight hundred twenty-seven million, eight hundred sixty-one thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 8690963 17381926 26072889 34763852 52145778 78218667 104291556 156437334 312874668 356329483 712658966 1068988449 1425317932 2137976898 3206965347 4275953796 6413930694 12827861388