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16673984964 = 223271319223613
BaseRepresentation
bin11111000011101100…
…01101000111000100
31121001001001012100200
433201312031013010
5233122020004324
611354313210500
71130124351030
oct174166150704
947031035320
1016673984964
11708703676a
123294100a30
1317595b73c0
14b426971c0
15678c79ec9
hex3e1d8d1c4

16673984964 has 432 divisors, whose sum is σ = 57222127872. Its totient is φ = 3978450432.

The previous prime is 16673984963. The next prime is 16673985007. The reversal of 16673984964 is 46948937661.

16673984964 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 (63).

It is not an unprimeable number, because it can be changed into a prime (16673984963) 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 143 ways as a sum of consecutive naturals, for example, 27200322 + ... + 27200934.

Almost surely, 216673984964 is an apocalyptic number.

16673984964 is a gapful number since it is divisible by the number (14) 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 16673984964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28611063936).

16673984964 is an abundant number, since it is smaller than the sum of its proper divisors (40548142908).

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

16673984964 is a wasteful number, since it uses less digits than its factorization.

16673984964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 680 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 16673984964 in words is "sixteen billion, six hundred seventy-three million, nine hundred eighty-four thousand, nine hundred sixty-four".