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214443269568 = 2632111923411889
BaseRepresentation
bin1100011110110111010…
…0001001110111000000
3202111111220211210121100
43013231310021313000
512003134434111233
6242302555254400
721331050500433
oct3075564116700
9674456753540
10214443269568
1182a436a9420
123568874a400
13172b670c428
14a5443c381a
1558a1466813
hex31edd09dc0

214443269568 has 672 divisors, whose sum is σ = 754884748800. Its totient is φ = 57419366400.

The previous prime is 214443269567. The next prime is 214443269581. The reversal of 214443269568 is 865962344412.

214443269568 is a `hidden beast` number, since 2 + 1 + 4 + 44 + 32 + 6 + 9 + 568 = 666.

214443269568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214443269561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113521168 + ... + 113523056.

It is an arithmetic number, because the mean of its divisors is an integer number (1123340400).

Almost surely, 2214443269568 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 214443269568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377442374400).

214443269568 is an abundant number, since it is smaller than the sum of its proper divisors (540441479232).

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

214443269568 is a wasteful number, since it uses less digits than its factorization.

214443269568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1988 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 214443269568 in words is "two hundred fourteen billion, four hundred forty-three million, two hundred sixty-nine thousand, five hundred sixty-eight".