Search a number
-
+
18050967936 = 273419432131
BaseRepresentation
bin10000110011111010…
…111110100110000000
31201121000002011220000
4100303322332212000
5243432021433221
612143102520000
71206214460451
oct206372764600
951530064800
1018050967936
117723334421
1235b9296000
131918967421
14c334d7128
15709ac4e26
hex433ebe980

18050967936 has 320 divisors, whose sum is σ = 57888916800. Its totient is φ = 5565127680.

The previous prime is 18050967899. The next prime is 18050967967. The reversal of 18050967936 is 63976905081.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 8469591 + ... + 8471721.

It is an arithmetic number, because the mean of its divisors is an integer number (180902865).

Almost surely, 218050967936 is an apocalyptic number.

18050967936 is a gapful number since it is divisible by the number (16) 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 18050967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28944458400).

18050967936 is an abundant number, since it is smaller than the sum of its proper divisors (39837948864).

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

18050967936 is a wasteful number, since it uses less digits than its factorization.

18050967936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 18050967936 in words is "eighteen billion, fifty million, nine hundred sixty-seven thousand, nine hundred thirty-six".