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16421330016 = 2533721329837
BaseRepresentation
bin11110100101100100…
…11001110001100000
31120101102121222221000
433102302121301200
5232112330030031
611313250032000
71120636000500
oct172262316140
946342558830
1016421330016
116a6745a323
123223578600
131719155430
14b1acc9a00
156619be3e6
hex3d2c99c60

16421330016 has 288 divisors, whose sum is σ = 60003024480. Its totient is φ = 4330755072.

The previous prime is 16421329961. The next prime is 16421330021. The reversal of 16421330016 is 61003312461.

16421330016 is a `hidden beast` number, since 1 + 642 + 1 + 3 + 3 + 0 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 535450 + ... + 565286.

It is an arithmetic number, because the mean of its divisors is an integer number (208343835).

Almost surely, 216421330016 is an apocalyptic number.

16421330016 is a gapful number since it is divisible by the number (16) 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 16421330016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30001512240).

16421330016 is an abundant number, since it is smaller than the sum of its proper divisors (43581694464).

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

16421330016 is a wasteful number, since it uses less digits than its factorization.

16421330016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29883 (or 29862 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 16421330016 its reverse (61003312461), we get a palindrome (77424642477).

The spelling of 16421330016 in words is "sixteen billion, four hundred twenty-one million, three hundred thirty thousand, sixteen".