Search a number
-
+
16728523056 = 2434717313499
BaseRepresentation
bin11111001010001100…
…10000000100110000
31121011211200000120000
433211012100010300
5233230000214211
611403542150000
71131356046150
oct174506200460
947154600500
1016728523056
1171048a6a73
1232aa422300
1317679a126b
14b49a12760
1567d94e656
hex3e5190130

16728523056 has 400 divisors, whose sum is σ = 60496128000. Its totient is φ = 4352071680.

The previous prime is 16728523013. The next prime is 16728523061. The reversal of 16728523056 is 65032582761.

16728523056 is a `hidden beast` number, since 1 + 6 + 72 + 8 + 523 + 0 + 56 = 666.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 4779195 + ... + 4782693.

It is an arithmetic number, because the mean of its divisors is an integer number (151240320).

Almost surely, 216728523056 is an apocalyptic number.

16728523056 is a gapful number since it is divisible by the number (16) 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 16728523056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30248064000).

16728523056 is an abundant number, since it is smaller than the sum of its proper divisors (43767604944).

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

16728523056 is a wasteful number, since it uses less digits than its factorization.

16728523056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 16728523056 in words is "sixteen billion, seven hundred twenty-eight million, five hundred twenty-three thousand, fifty-six".