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12147814336 = 26728196497
BaseRepresentation
bin10110101000001000…
…01110111111000000
31011100121020220111111
423110010032333000
5144334320024321
65325225453104
7610014501220
oct132404167700
934317226444
1012147814336
115174140789
122430341194
1311b7979928
148334d8080
154b171c5e1
hex2d410efc0

12147814336 has 56 divisors (see below), whose sum is σ = 27647834976. Its totient is φ = 5187624960.

The previous prime is 12147814333. The next prime is 12147814351. The reversal of 12147814336 is 63341874121.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12147814333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77640 + ... + 174136.

Almost surely, 212147814336 is an apocalyptic number.

12147814336 is a gapful number since it is divisible by the number (16) 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 12147814336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13823917488).

12147814336 is an abundant number, since it is smaller than the sum of its proper divisors (15500020640).

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

12147814336 is an equidigital number, since it uses as much as digits as its factorization.

12147814336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96797 (or 96787 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The spelling of 12147814336 in words is "twelve billion, one hundred forty-seven million, eight hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 281 448 562 1124 1967 2248 3934 4496 7868 8992 15736 17984 31472 62944 96497 125888 192994 385988 675479 771976 1350958 1543952 2701916 3087904 5403832 6175808 10807664 21615328 27115657 43230656 54231314 108462628 189809599 216925256 379619198 433850512 759238396 867701024 1518476792 1735402048 3036953584 6073907168 12147814336