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12366423056064 = 26372111055911317
BaseRepresentation
bin1011001111110100100001…
…0000001101111011000000
31121210012220021200222210010
42303331020100031323000
53110102413300243224
642145020055504520
72414305330420500
oct263751020157300
947705807628703
1012366423056064
113a38630472260
121478842088140
136b91c189915c
1430a776669a00
15166a2bb84e29
hexb3f4840dec0

12366423056064 has 336 divisors, whose sum is σ = 41529186293760. Its totient is φ = 3211469936640.

The previous prime is 12366423056063. The next prime is 12366423056077. The reversal of 12366423056064 is 46065032466321.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (12366423056063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1092724134 + ... + 1092735450.

Almost surely, 212366423056064 is an apocalyptic number.

12366423056064 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 12366423056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20764593146880).

12366423056064 is an abundant number, since it is smaller than the sum of its proper divisors (29162763237696).

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

12366423056064 is a wasteful number, since it uses less digits than its factorization.

12366423056064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21916 (or 21899 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 12366423056064 in words is "twelve trillion, three hundred sixty-six billion, four hundred twenty-three million, fifty-six thousand, sixty-four".