Search a number
-
+
16553322240 = 2835713127373
BaseRepresentation
bin11110110101010011…
…11010011100000000
31120201121222220012220
433122221322130000
5232400122302430
611334323051040
71124130626460
oct173251723400
946647886186
1016553322240
117024a12004
12325b810a80
13173a5ba940
14b30647ba0
1566d393110
hex3daa7a700

16553322240 has 576 divisors, whose sum is σ = 65755447296. Its totient is φ = 3455778816.

The previous prime is 16553322223. The next prime is 16553322259. The reversal of 16553322240 is 4222335561.

It is a happy number.

16553322240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 44378694 + ... + 44379066.

Almost surely, 216553322240 is an apocalyptic number.

16553322240 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 16553322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32877723648).

16553322240 is an abundant number, since it is smaller than the sum of its proper divisors (49202125056).

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

16553322240 is a wasteful number, since it uses less digits than its factorization.

16553322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 16553322240 in words is "sixteen billion, five hundred fifty-three million, three hundred twenty-two thousand, two hundred forty".