Search a number
-
+
16090307200 = 2752113311381
BaseRepresentation
bin11101111110000111…
…01001101010000000
31112112100202021222201
432333003221222000
5230423104312300
611220343042544
71106506232422
oct167703515200
945470667881
1016090307200
116907616a50
123150740454
1316956b4c46
14ac8d5c812
156428d366a
hex3bf0e9a80

16090307200 has 192 divisors, whose sum is σ = 43524044640. Its totient is φ = 5829120000.

The previous prime is 16090307161. The next prime is 16090307201. The reversal of 16090307200 is 270309061.

16090307200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16090307201) by changing a digit.

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, 11650510 + ... + 11651890.

Almost surely, 216090307200 is an apocalyptic number.

16090307200 is a gapful number since it is divisible by the number (10) 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 16090307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762022320).

16090307200 is an abundant number, since it is smaller than the sum of its proper divisors (27433737440).

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

16090307200 is a wasteful number, since it uses less digits than its factorization.

16090307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The spelling of 16090307200 in words is "sixteen billion, ninety million, three hundred seven thousand, two hundred".