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16642665072 = 24321110506733
BaseRepresentation
bin11110111111111101…
…01110101001110000
31120221212002222112200
433133332232221300
5233041010240242
611351234023200
71126264214265
oct173776565160
946855088480
1016642665072
117070394660
123285717b00
131752c6c717
14b3c46326c
1567614004c
hex3dffaea70

16642665072 has 60 divisors (see below), whose sum is σ = 50810565624. Its totient is φ = 5043231360.

The previous prime is 16642665047. The next prime is 16642665073. The reversal of 16642665072 is 27056624661.

16642665072 is a `hidden beast` number, since 166 + 426 + 65 + 0 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16642665073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5251783 + ... + 5254950.

Almost surely, 216642665072 is an apocalyptic number.

16642665072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16642665072 is an abundant number, since it is smaller than the sum of its proper divisors (34167900552).

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

16642665072 is a wasteful number, since it uses less digits than its factorization.

16642665072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10506758 (or 10506749 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 16642665072 in words is "sixteen billion, six hundred forty-two million, six hundred sixty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 10506733 21013466 31520199 42026932 63040398 84053864 94560597 115574063 126080796 168107728 189121194 231148126 252161592 346722189 378242388 462296252 504323184 693444378 756484776 924592504 1040166567 1386888756 1512969552 1849185008 2080333134 2773777512 4160666268 5547555024 8321332536 16642665072