Search a number
-
+
16311913800 = 233527413267
BaseRepresentation
bin11110011000100010…
…00000110101001000
31120002210202002002120
433030101000311020
5231401322220200
611254340531240
71115136660000
oct171421006510
946083662076
1016311913800
116a107172a6
1231b29b0b20
1316cc595a00
14b0a567000
156570a99a0
hex3cc440d48

16311913800 has 720 divisors, whose sum is σ = 64831497840. Its totient is φ = 3390266880.

The previous prime is 16311913799. The next prime is 16311913829. The reversal of 16311913800 is 831911361.

It is a happy number.

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 179 ways as a sum of consecutive naturals, for example, 243461367 + ... + 243461433.

It is an arithmetic number, because the mean of its divisors is an integer number (90043747).

Almost surely, 216311913800 is an apocalyptic number.

16311913800 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 16311913800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32415748920).

16311913800 is an abundant number, since it is smaller than the sum of its proper divisors (48519584040).

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

16311913800 is a wasteful number, since it uses less digits than its factorization.

16311913800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The spelling of 16311913800 in words is "sixteen billion, three hundred eleven million, nine hundred thirteen thousand, eight hundred".