Search a number
-
+
16191631080 = 23345233143163
BaseRepresentation
bin11110001010001100…
…01010111011101000
31112210102102002020000
433011012022323220
5231130024143310
611234402503000
71112146410342
oct170506127350
945712362200
1016191631080
116959832099
12317a664a60
1316b06a01c1
14ad85b6292
1564b74a4c0
hex3c518aee8

16191631080 has 640 divisors, whose sum is σ = 60351160320. Its totient is φ = 3879912960.

The previous prime is 16191631073. The next prime is 16191631091. The reversal of 16191631080 is 8013619161.

It is a happy number.

16191631080 is a `hidden beast` number, since 1 + 6 + 19 + 1 + 631 + 0 + 8 + 0 = 666.

16191631080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 99335079 + ... + 99335241.

It is an arithmetic number, because the mean of its divisors is an integer number (94298688).

Almost surely, 216191631080 is an apocalyptic number.

16191631080 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 16191631080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30175580160).

16191631080 is an abundant number, since it is smaller than the sum of its proper divisors (44159529240).

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

16191631080 is a wasteful number, since it uses less digits than its factorization.

16191631080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 16191631080 in words is "sixteen billion, one hundred ninety-one million, six hundred thirty-one thousand, eighty".