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12266552448 = 273289181661
BaseRepresentation
bin10110110110010010…
…01011110010000000
31011122212200102120100
423123021023302000
5200110214134243
65345110442400
7612655655403
oct133311136200
934585612510
1012266552448
115225170457
122464063400
131206451377
148451a5d3a
154bbd740d3
hex2db24bc80

12266552448 has 192 divisors, whose sum is σ = 35946401400. Its totient is φ = 4014489600.

The previous prime is 12266552447. The next prime is 12266552483. The reversal of 12266552448 is 84425566221.

12266552448 is a `hidden beast` number, since 1 + 2 + 26 + 65 + 524 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6670315584 + 5596236864 = 81672^2 + 74808^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12266552447) 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, 18557238 + ... + 18557898.

Almost surely, 212266552448 is an apocalyptic number.

12266552448 is a gapful number since it is divisible by the number (18) 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 12266552448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17973200700).

12266552448 is an abundant number, since it is smaller than the sum of its proper divisors (23679848952).

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

12266552448 is a wasteful number, since it uses less digits than its factorization.

12266552448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 936 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 12266552448 in words is "twelve billion, two hundred sixty-six million, five hundred fifty-two thousand, four hundred forty-eight".