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16344452664 = 233217294797101
BaseRepresentation
bin11110011100011010…
…01000111000111000
31120012001222020000200
433032031020320320
5231433134441124
611301502202200
71116013361331
oct171615107070
946161866020
1016344452664
116a28021221
123201883360
131706249487
14b109d7288
15659d85bc9
hex3ce348e38

16344452664 has 384 divisors, whose sum is σ = 50523782400. Its totient is φ = 4748083200.

The previous prime is 16344452659. The next prime is 16344452687. The reversal of 16344452664 is 46625444361.

16344452664 is a `hidden beast` number, since 1 + 6 + 344 + 45 + 266 + 4 = 666.

16344452664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×163444526642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161826214 + ... + 161826314.

It is an arithmetic number, because the mean of its divisors is an integer number (131572350).

Almost surely, 216344452664 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 16344452664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25261891200).

16344452664 is an abundant number, since it is smaller than the sum of its proper divisors (34179329736).

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

16344452664 is a wasteful number, since it uses less digits than its factorization.

16344452664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 296 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 16344452664 in words is "sixteen billion, three hundred forty-four million, four hundred fifty-two thousand, six hundred sixty-four".