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16873900000 = 25551983107
BaseRepresentation
bin11111011011100001…
…10100011111100000
31121112222012221020021
433231300310133200
5234024204300000
611430214123224
71135102532506
oct175560643740
947488187207
1016873900000
117179970901
12332b050514
13178bb41b19
14b61056676
1568b5b911a
hex3edc347e0

16873900000 has 288 divisors, whose sum is σ = 44648392320. Its totient is φ = 6258240000.

The previous prime is 16873899989. The next prime is 16873900031. The reversal of 16873900000 is 937861.

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 47 ways as a sum of consecutive naturals, for example, 157699947 + ... + 157700053.

It is an arithmetic number, because the mean of its divisors is an integer number (155029140).

Almost surely, 216873900000 is an apocalyptic number.

16873900000 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 16873900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22324196160).

16873900000 is an abundant number, since it is smaller than the sum of its proper divisors (27774492320).

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

16873900000 is an equidigital number, since it uses as much as digits as its factorization.

16873900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 16873900000 in words is "sixteen billion, eight hundred seventy-three million, nine hundred thousand".