Search a number
-
+
16533343440 = 24325375967157
BaseRepresentation
bin11110110010111011…
…01100110011010000
31120200020101212110100
433121131230303100
5232330013442230
611332330532400
71123466046315
oct173135546320
946606355410
1016533343440
1170147066a9
123254b97100
131736414073
14b2bb26d0c
1566b748660
hex3d976ccd0

16533343440 has 480 divisors, whose sum is σ = 59232101760. Its totient is φ = 4127625216.

The previous prime is 16533343433. The next prime is 16533343511. The reversal of 16533343440 is 4434333561.

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

It is a junction number, because it is equal to n+sod(n) for n = 16533343395 and 16533343404.

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 95 ways as a sum of consecutive naturals, for example, 105307842 + ... + 105307998.

It is an arithmetic number, because the mean of its divisors is an integer number (123400212).

Almost surely, 216533343440 is an apocalyptic number.

16533343440 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 16533343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29616050880).

16533343440 is an abundant number, since it is smaller than the sum of its proper divisors (42698758320).

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

16533343440 is a wasteful number, since it uses less digits than its factorization.

16533343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 16533343440 in words is "sixteen billion, five hundred thirty-three million, three hundred forty-three thousand, four hundred forty".