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16028041344 = 273727122003
BaseRepresentation
bin11101110110101100…
…01000000010000000
31112101000120212021220
432323112020002000
5230311134310334
611210240315040
71105122050340
oct167326100200
945330525256
1016028041344
116885458767
123133912a80
131685823843
14ac0990d20
1563c1d4449
hex3bb588080

16028041344 has 128 divisors (see below), whose sum is σ = 48838318080. Its totient is φ = 4562334720.

The previous prime is 16028041343. The next prime is 16028041423. The reversal of 16028041344 is 44314082061.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (16028041343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717447 + ... + 739449.

It is an arithmetic number, because the mean of its divisors is an integer number (381549360).

Almost surely, 216028041344 is an apocalyptic number.

16028041344 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 16028041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24419159040).

16028041344 is an abundant number, since it is smaller than the sum of its proper divisors (32810276736).

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

16028041344 is a wasteful number, since it uses less digits than its factorization.

16028041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22298 (or 22286 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 16028041344 in words is "sixteen billion, twenty-eight million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 271 336 384 448 542 672 813 896 1084 1344 1626 1897 2168 2688 3252 3794 4336 5691 6504 7588 8672 11382 13008 15176 17344 22003 22764 26016 30352 34688 44006 45528 52032 60704 66009 88012 91056 104064 121408 132018 154021 176024 182112 242816 264036 308042 352048 364224 462063 528072 616084 704096 728448 924126 1056144 1232168 1408192 1848252 2112288 2464336 2816384 3696504 4224576 4928672 5962813 7393008 8449152 9857344 11925626 14786016 17888439 19714688 23851252 29572032 35776878 41739691 47702504 59144064 71553756 83479382 95405008 125219073 143107512 166958764 190810016 250438146 286215024 333917528 381620032 500876292 572430048 667835056 763240064 1001752584 1144860096 1335670112 2003505168 2289720192 2671340224 4007010336 5342680448 8014020672 16028041344