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12827185921 = 1123110633217
BaseRepresentation
bin10111111001000111…
…10101001100000001
31020002221121120010001
423330203311030001
5202232224422141
65520455040001
7632604165334
oct137443651401
936087546101
1012827185921
115492680700
12259b970001
131295645854
1489982261b
155011b7a31
hex2fc8f5301

12827185921 has 24 divisors (see below), whose sum is σ = 14572339712. Its totient is φ = 11270793600.

The previous prime is 12827185909. The next prime is 12827185927. The reversal of 12827185921 is 12958172821.

12827185921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12827185921 - 225 = 12793631489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12827185927) 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 23 ways as a sum of consecutive naturals, for example, 3985705 + ... + 3988921.

Almost surely, 212827185921 is an apocalyptic number.

12827185921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12827185921 is a deficient number, since it is larger than the sum of its proper divisors (1745153791).

12827185921 is a wasteful number, since it uses less digits than its factorization.

12827185921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4322 counting only the distinct ones).

The product of its digits is 161280, while the sum is 46.

The spelling of 12827185921 in words is "twelve billion, eight hundred twenty-seven million, one hundred eighty-five thousand, nine hundred twenty-one".

Divisors: 1 11 31 121 341 1063 3217 3751 11693 32953 35387 99727 128623 362483 389257 1096997 3419671 3987313 12066967 37616381 106009801 413780191 1166107811 12827185921