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16676432640 = 283257231953
BaseRepresentation
bin11111000011111111…
…00010101100000000
31121001012122112221100
433201333202230000
5233123131321030
611354441454400
71130154224100
oct174177425400
947035575840
1016676432640
11708845873a
123294aa1400
131759c6352a
14b42b33200
156790b0360
hex3e1fe2b00

16676432640 has 648 divisors, whose sum is σ = 69356746368. Its totient is φ = 3684925440.

The previous prime is 16676432599. The next prime is 16676432653. The reversal of 16676432640 is 4623467661.

It is a happy number.

16676432640 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 (45).

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 71 ways as a sum of consecutive naturals, for example, 17498404 + ... + 17499356.

It is an arithmetic number, because the mean of its divisors is an integer number (107032016).

Almost surely, 216676432640 is an apocalyptic number.

16676432640 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 16676432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34678373184).

16676432640 is an abundant number, since it is smaller than the sum of its proper divisors (52680313728).

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

16676432640 is a wasteful number, since it uses less digits than its factorization.

16676432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 16676432640 in words is "sixteen billion, six hundred seventy-six million, four hundred thirty-two thousand, six hundred forty".