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16662346096 = 24111936713577
BaseRepresentation
bin11111000010010011…
…10011100101110000
31121000020010212211111
433201021303211300
5233111030033341
611353215523104
71126623414334
oct174111634560
947006125744
1016662346096
117080507270
123290229494
1317570708b6
14b40d077c4
15677c2b681
hex3e1273970

16662346096 has 80 divisors (see below), whose sum is σ = 37175477760. Its totient is φ = 7155095040.

The previous prime is 16662346087. The next prime is 16662346109. The reversal of 16662346096 is 69064326661.

It is a happy number.

16662346096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1220460 + ... + 1234036.

It is an arithmetic number, because the mean of its divisors is an integer number (464693472).

Almost surely, 216662346096 is an apocalyptic number.

16662346096 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 16662346096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18587738880).

16662346096 is an abundant number, since it is smaller than the sum of its proper divisors (20513131664).

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

16662346096 is a wasteful number, since it uses less digits than its factorization.

16662346096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13982 (or 13976 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 49.

The spelling of 16662346096 in words is "sixteen billion, six hundred sixty-two million, three hundred forty-six thousand, ninety-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 367 418 734 836 1468 1672 2936 3344 4037 5872 6973 8074 13577 13946 16148 27154 27892 32296 54308 55784 64592 76703 108616 111568 149347 153406 217232 257963 298694 306812 515926 597388 613624 1031852 1194776 1227248 2063704 2389552 2837593 4127408 4982759 5675186 9965518 11350372 19931036 22700744 39862072 45401488 54810349 79724144 94672421 109620698 189344842 219241396 378689684 438482792 757379368 876965584 1041396631 1514758736 2082793262 4165586524 8331173048 16662346096