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12891468440 = 235893621199
BaseRepresentation
bin11000000000110010…
…00011001010011000
31020021102120110011002
430000121003022120
5202400203442230
65531112524132
7634314450044
oct140031031230
936242513132
1012891468440
115515997054
1225b93b0648
1312a5a61b46
148a4197024
15506b64545
hex300643298

12891468440 has 32 divisors (see below), whose sum is σ = 29331720000. Its totient is φ = 5098646784.

The previous prime is 12891468433. The next prime is 12891468511. The reversal of 12891468440 is 4486419821.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1807040 + ... + 1814159.

It is an arithmetic number, because the mean of its divisors is an integer number (916616250).

Almost surely, 212891468440 is an apocalyptic number.

12891468440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12891468440 is an abundant number, since it is smaller than the sum of its proper divisors (16440251560).

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

12891468440 is a wasteful number, since it uses less digits than its factorization.

12891468440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621299 (or 3621295 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The spelling of 12891468440 in words is "twelve billion, eight hundred ninety-one million, four hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 3621199 7242398 14484796 18105995 28969592 36211990 72423980 144847960 322286711 644573422 1289146844 1611433555 2578293688 3222867110 6445734220 12891468440