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12238854144 = 211311473853
BaseRepresentation
bin10110110010111111…
…00001100000000000
31011120221120012122020
423121133201200000
5200031121313034
65342241041440
7612201354336
oct133137414000
934527505566
1012238854144
1152105722a0
122456926280
1312007a3c3a
14841635b56
154b9702249
hex2d97e1800

12238854144 has 192 divisors, whose sum is σ = 36362027520. Its totient is φ = 3628892160.

The previous prime is 12238854127. The next prime is 12238854193. The reversal of 12238854144 is 44145883221.

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

It is a junction number, because it is equal to n+sod(n) for n = 12238854096 and 12238854105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3174522 + ... + 3178374.

It is an arithmetic number, because the mean of its divisors is an integer number (189385560).

Almost surely, 212238854144 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 12238854144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18181013760).

12238854144 is an abundant number, since it is smaller than the sum of its proper divisors (24123173376).

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

12238854144 is a wasteful number, since it uses less digits than its factorization.

12238854144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 3916 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The spelling of 12238854144 in words is "twelve billion, two hundred thirty-eight million, eight hundred fifty-four thousand, one hundred forty-four".