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16454383344 = 24327193672341
BaseRepresentation
bin11110101001100000…
…11111011011110000
31120110201211021120100
433110300133123300
5232144310231334
611320430312400
71121516644050
oct172460373360
946421737510
1016454383344
116a84085823
123232658700
131722c59109
14b21451560
1566484cc99
hex3d4c1f6f0

16454383344 has 240 divisors, whose sum is σ = 55572474880. Its totient is φ = 4439784960.

The previous prime is 16454383313. The next prime is 16454383357. The reversal of 16454383344 is 44338345461.

16454383344 is a `hidden beast` number, since 1 + 64 + 543 + 8 + 3 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16454383344.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7027614 + ... + 7029954.

Almost surely, 216454383344 is an apocalyptic number.

16454383344 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 16454383344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27786237440).

16454383344 is an abundant number, since it is smaller than the sum of its proper divisors (39118091536).

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

16454383344 is a wasteful number, since it uses less digits than its factorization.

16454383344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2739 counting only the distinct ones).

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

The spelling of 16454383344 in words is "sixteen billion, four hundred fifty-four million, three hundred eighty-three thousand, three hundred forty-four".