Search a number
-
+
16343262144 = 26321179103317
BaseRepresentation
bin11110011100010001…
…00110001111000000
31120011222201201221100
433032020212033000
5231432333342034
611301420454400
71116000302406
oct171610461700
946158651840
1016343262144
116a27388820
1232013aa400
131705c20621
14b107a7476
15659bed099
hex3ce2263c0

16343262144 has 336 divisors, whose sum is σ = 52417797120. Its totient is φ = 4827064320.

The previous prime is 16343262121. The next prime is 16343262157. The reversal of 16343262144 is 44126234361.

16343262144 is a `hidden beast` number, since 1 + 6 + 3 + 432 + 6 + 214 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16343262099 and 16343262108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51555874 + ... + 51556190.

Almost surely, 216343262144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16343262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26208898560).

16343262144 is an abundant number, since it is smaller than the sum of its proper divisors (36074534976).

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

16343262144 is a wasteful number, since it uses less digits than its factorization.

16343262144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 515 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 16343262144 in words is "sixteen billion, three hundred forty-three million, two hundred sixty-two thousand, one hundred forty-four".