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12389228544 = 21337116547
BaseRepresentation
bin10111000100111010…
…01010000000000000
31011222102112000112110
423202131022000000
5200333120303134
65405212055320
7616005463560
oct134235120000
934872460473
1012389228544
11528843a860
122499164540
1312259a4384
148575bada0
154c7a077e9
hex2e274a000

12389228544 has 224 divisors, whose sum is σ = 41193939456. Its totient is φ = 3217489920.

The previous prime is 12389228513. The next prime is 12389228549. The reversal of 12389228544 is 44582298321.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 12389228493 and 12389228502.

It is not an unprimeable number, because it can be changed into a prime (12389228549) 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 15 ways as a sum of consecutive naturals, for example, 1889079 + ... + 1895625.

Almost surely, 212389228544 is an apocalyptic number.

12389228544 is a gapful number since it is divisible by the number (14) 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 12389228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20596969728).

12389228544 is an abundant number, since it is smaller than the sum of its proper divisors (28804710912).

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

12389228544 is an equidigital number, since it uses as much as digits as its factorization.

12389228544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6594 (or 6570 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The spelling of 12389228544 in words is "twelve billion, three hundred eighty-nine million, two hundred twenty-eight thousand, five hundred forty-four".