Search a number
-
+
16028208768 = 2731113222453
BaseRepresentation
bin11101110110101101…
…10000111010000000
31112101000220100221210
432323112300322000
5230311210140033
611210244050120
71105123345425
oct167326607200
945330810853
1016028208768
116885562530
123133993940
131685881b00
14ac09d5d4c
1563c218d63
hex3bb5b0e80

16028208768 has 192 divisors, whose sum is σ = 50295163680. Its totient is φ = 4483215360.

The previous prime is 16028208751. The next prime is 16028208773. The reversal of 16028208768 is 86780282061.

16028208768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×160282087683 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 23 ways as a sum of consecutive naturals, for example, 702630 + ... + 725082.

Almost surely, 216028208768 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 16028208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25147581840).

16028208768 is an abundant number, since it is smaller than the sum of its proper divisors (34266954912).

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

16028208768 is a wasteful number, since it uses less digits than its factorization.

16028208768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22507 (or 22482 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 16028208768 in words is "sixteen billion, twenty-eight million, two hundred eight thousand, seven hundred sixty-eight".