Search a number
-
+
16336404000 = 25355375
BaseRepresentation
bin11110011011011100…
…11011111000100000
31120011111211022100000
433031232123320200
5231424104412000
611301013500000
71115555100000
oct171556337040
946144738300
1016336404000
116a23524134
1231bb041600
13170468bb57
14b0d900000
156592e6000
hex3cdb9be20

16336404000 has 864 divisors, whose sum is σ = 70145502336. Its totient is φ = 3734035200.

The previous prime is 16336403969. The next prime is 16336404017. The reversal of 16336404000 is 40463361.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

16336404000 is a `hidden beast` number, since 16 + 3 + 3 + 640 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2333771997 + ... + 2333772003.

It is an arithmetic number, because the mean of its divisors is an integer number (81186924).

Almost surely, 216336404000 is an apocalyptic number.

16336404000 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 16336404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35072751168).

16336404000 is an abundant number, since it is smaller than the sum of its proper divisors (53809098336).

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

16336404000 is an frugal number, since it uses more digits than its factorization.

16336404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 16336404000 its reverse (40463361), we get a palindrome (16376867361).

The spelling of 16336404000 in words is "sixteen billion, three hundred thirty-six million, four hundred four thousand".