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16993590880 = 25571937113191
BaseRepresentation
bin11111101001110010…
…11001111001100000
31121212022102212020211
433310321121321200
5234300324402010
611450131343504
71141055065510
oct176471317140
947768385224
1016993590880
117230491392
123363151b94
1317aa88b126
14b72cd1840
15696d5d08a
hex3f4e59e60

16993590880 has 384 divisors, whose sum is σ = 50303877120. Its totient is φ = 5295144960.

The previous prime is 16993590869. The next prime is 16993590883. The reversal of 16993590880 is 8809539961.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16993590883) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 88971585 + ... + 88971775.

It is an arithmetic number, because the mean of its divisors is an integer number (130999680).

Almost surely, 216993590880 is an apocalyptic number.

16993590880 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 16993590880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25151938560).

16993590880 is an abundant number, since it is smaller than the sum of its proper divisors (33310286240).

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

16993590880 is a wasteful number, since it uses less digits than its factorization.

16993590880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 58.

The spelling of 16993590880 in words is "sixteen billion, nine hundred ninety-three million, five hundred ninety thousand, eight hundred eighty".