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16089974784 = 2113613829
BaseRepresentation
bin11101111110000100…
…11000100000000000
31112112100010102000000
432333002120200000
5230423013143114
611220332000000
71106503346322
oct167702304000
945470112000
1016089974784
11690740a224
123150600000
1316955c9850
14ac8cb3612
15642869e09
hex3bf098800

16089974784 has 336 divisors, whose sum is σ = 52009202700. Its totient is φ = 4944789504.

The previous prime is 16089974777. The next prime is 16089974833. The reversal of 16089974784 is 48747998061.

It can be written as a sum of positive squares in 2 ways, for example, as 15695078400 + 394896384 = 125280^2 + 19872^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 19408482 + ... + 19409310.

Almost surely, 216089974784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16089974784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26004601350).

16089974784 is an abundant number, since it is smaller than the sum of its proper divisors (35919227916).

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

16089974784 is an frugal number, since it uses more digits than its factorization.

16089974784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 16089974784 in words is "sixteen billion, eighty-nine million, nine hundred seventy-four thousand, seven hundred eighty-four".