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12691428480 = 2732519891303
BaseRepresentation
bin10111101000111011…
…11101010010000000
31012202111011100220200
423310131331102000
5201443001202410
65455205205200
7626335235133
oct136435752200
935674140820
1012691428480
115422a87075
122562400800
1312734925c3
148857a421a
154e42ed3c0
hex2f477d480

12691428480 has 384 divisors, whose sum is σ = 46685808000. Its totient is φ = 3167797248.

The previous prime is 12691428473. The next prime is 12691428481. The reversal of 12691428480 is 8482419621.

12691428480 is a `hidden beast` number, since 1 + 26 + 9 + 142 + 8 + 480 = 666.

12691428480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×126914284802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12691428481) 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 47 ways as a sum of consecutive naturals, for example, 9739509 + ... + 9740811.

It is an arithmetic number, because the mean of its divisors is an integer number (121577625).

Almost surely, 212691428480 is an apocalyptic number.

12691428480 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 12691428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23342904000).

12691428480 is an abundant number, since it is smaller than the sum of its proper divisors (33994379520).

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

12691428480 is a wasteful number, since it uses less digits than its factorization.

12691428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12691428480 in words is "twelve billion, six hundred ninety-one million, four hundred twenty-eight thousand, four hundred eighty".