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12886398720 = 283251326619
BaseRepresentation
bin11000000000001011…
…01101011100000000
31020021002000212210200
430000011231130000
5202342404224340
65530412125200
7634223403366
oct140005553400
936232025720
1012886398720
1155130440a8
1225b7766800
1312a49a8400
148a3637636
155064b2330
hex30016d700

12886398720 has 324 divisors, whose sum is σ = 48286372680. Its totient is φ = 3171557376.

The previous prime is 12886398677. The next prime is 12886398727. The reversal of 12886398720 is 2789368821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12886398727) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1943571 + ... + 1950189.

Almost surely, 212886398720 is an apocalyptic number.

12886398720 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 12886398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24143186340).

12886398720 is an abundant number, since it is smaller than the sum of its proper divisors (35399973960).

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

12886398720 is a wasteful number, since it uses less digits than its factorization.

12886398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6672 (or 6642 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 12886398720 in words is "twelve billion, eight hundred eighty-six million, three hundred ninety-eight thousand, seven hundred twenty".