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20218346880 = 2735192324097
BaseRepresentation
bin10010110101000110…
…110111110110000000
31221012001101102212020
4102311012313312000
5312401344100010
613142125201440
71314013053504
oct226506676600
957161342766
1020218346880
118635803296
123b03100280
131ba29b6a84
14d9b2c2304
157d4eeb470
hex4b51b7d80

20218346880 has 256 divisors, whose sum is σ = 70790284800. Its totient is φ = 4885512192.

The previous prime is 20218346873. The next prime is 20218346923. The reversal of 20218346880 is 8864381202.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 826992 + ... + 851088.

It is an arithmetic number, because the mean of its divisors is an integer number (276524550).

Almost surely, 220218346880 is an apocalyptic number.

20218346880 is a gapful number since it is divisible by the number (20) 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 20218346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35395142400).

20218346880 is an abundant number, since it is smaller than the sum of its proper divisors (50571937920).

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

20218346880 is a wasteful number, since it uses less digits than its factorization.

20218346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24161 (or 24149 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 20218346880 in words is "twenty billion, two hundred eighteen million, three hundred forty-six thousand, eight hundred eighty".