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16344923328 = 2632432103149
BaseRepresentation
bin11110011100011101…
…11011110011000000
31120012002212010122200
433032032323303000
5231433300021303
611301520233200
71116020361456
oct171616736300
946162763580
1016344923328
116a283128a8
123201a6b800
131706382786
14b10aba9d6
15659e2a3a3
hex3ce3bbcc0

16344923328 has 252 divisors, whose sum is σ = 48755350800. Its totient is φ = 5234568192.

The previous prime is 16344923327. The next prime is 16344923333. The reversal of 16344923328 is 82332944361.

16344923328 is a `hidden beast` number, since 1 + 634 + 4 + 9 + 2 + 3 + 3 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16344923327) 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 35 ways as a sum of consecutive naturals, for example, 109697398 + ... + 109697546.

Almost surely, 216344923328 is an apocalyptic number.

16344923328 is a gapful number since it is divisible by the number (18) 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 16344923328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24377675400).

16344923328 is an abundant number, since it is smaller than the sum of its proper divisors (32410427472).

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

16344923328 is a wasteful number, since it uses less digits than its factorization.

16344923328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 300 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 16344923328 in words is "sixteen billion, three hundred forty-four million, nine hundred twenty-three thousand, three hundred twenty-eight".