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16218909840 = 24357217312617
BaseRepresentation
bin11110001101011100…
…01110110010010000
31112212022201222122110
433012232032302100
5231204020103330
611241215305320
71112630313300
oct170656166220
945768658573
1016218909840
116973174021
12318781b240
1316b6231693
14adc077600
1564dd37db0
hex3c6b8ec90

16218909840 has 480 divisors, whose sum is σ = 63949906944. Its totient is φ = 3375267840.

The previous prime is 16218909803. The next prime is 16218909841. The reversal of 16218909840 is 4890981261.

16218909840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16218909840.

It is not an unprimeable number, because it can be changed into a prime (16218909841) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6196212 + ... + 6198828.

Almost surely, 216218909840 is an apocalyptic number.

16218909840 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 16218909840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31974953472).

16218909840 is an abundant number, since it is smaller than the sum of its proper divisors (47730997104).

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

16218909840 is a wasteful number, since it uses less digits than its factorization.

16218909840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 16218909840 in words is "sixteen billion, two hundred eighteen million, nine hundred nine thousand, eight hundred forty".