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12689087424 = 26313892392
BaseRepresentation
bin10111101000101010…
…00001101111000000
31012202022202102120220
423310111001233000
5201441401244144
65455043103040
7626306314656
oct136425015700
935668672526
1012689087424
115421728212
122561671a80
131272b52b70
14885354dd6
154e3ed9919
hex2f4541bc0

12689087424 has 168 divisors, whose sum is σ = 36715628880. Its totient is φ = 3844313088.

The previous prime is 12689087423. The next prime is 12689087459. The reversal of 12689087424 is 42478098621.

It is a super-2 number, since 2×126890874242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12689087423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53092297 + ... + 53092535.

It is an arithmetic number, because the mean of its divisors is an integer number (218545410).

Almost surely, 212689087424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12689087424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18357814440).

12689087424 is an abundant number, since it is smaller than the sum of its proper divisors (24026541456).

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

12689087424 is an equidigital number, since it uses as much as digits as its factorization.

12689087424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 12689087424 in words is "twelve billion, six hundred eighty-nine million, eighty-seven thousand, four hundred twenty-four".