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12663253020 = 22351137351439
BaseRepresentation
bin10111100101100100…
…11110100000011100
31012200112010220110010
423302302132200130
5201413243044040
65452321243220
7625543606005
oct136262364034
935615126403
1012663253020
115409092470
122554a93510
13126a6a8c32
14881b4c1ac
154e1ad4e80
hex2f2c9e81c

12663253020 has 96 divisors (see below), whose sum is σ = 38784936960. Its totient is φ = 3061589760.

The previous prime is 12663253007. The next prime is 12663253027. The reversal of 12663253020 is 2035236621.

12663253020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12663253027) 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 31 ways as a sum of consecutive naturals, for example, 220461 + ... + 271899.

It is an arithmetic number, because the mean of its divisors is an integer number (404009760).

Almost surely, 212663253020 is an apocalyptic number.

12663253020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12663253020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19392468480).

12663253020 is an abundant number, since it is smaller than the sum of its proper divisors (26121683940).

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

12663253020 is a wasteful number, since it uses less digits than its factorization.

12663253020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51835 (or 51833 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 12663253020 its reverse (2035236621), we get a palindrome (14698489641).

The spelling of 12663253020 in words is "twelve billion, six hundred sixty-three million, two hundred fifty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 373 660 746 1119 1492 1865 2238 3730 4103 4476 5595 7460 8206 11190 12309 16412 20515 22380 24618 41030 49236 51439 61545 82060 102878 123090 154317 205756 246180 257195 308634 514390 565829 617268 771585 1028780 1131658 1543170 1697487 2263316 2829145 3086340 3394974 5658290 6789948 8487435 11316580 16974870 19186747 33949740 38373494 57560241 76746988 95933735 115120482 191867470 211054217 230240964 287801205 383734940 422108434 575602410 633162651 844216868 1055271085 1151204820 1266325302 2110542170 2532650604 3165813255 4221084340 6331626510 12663253020