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16566090093 = 3273173131887
BaseRepresentation
bin11110110110110101…
…00111100101101101
31120202112000120102100
433123122213211231
5232411404340333
611335500445313
71124344304520
oct173332474555
946675016370
1016566090093
117031142753
123263b49839
13174013b297
14b3220cbb7
1566e566213
hex3db6a796d

16566090093 has 96 divisors (see below), whose sum is σ = 28867018752. Its totient is φ = 8956396800.

The previous prime is 16566090089. The next prime is 16566090127. The reversal of 16566090093 is 39009066561.

It is not a de Polignac number, because 16566090093 - 22 = 16566090089 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16566090043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18676096 + ... + 18676982.

It is an arithmetic number, because the mean of its divisors is an integer number (300698112).

Almost surely, 216566090093 is an apocalyptic number.

It is an amenable number.

16566090093 is a deficient number, since it is larger than the sum of its proper divisors (12300928659).

16566090093 is a wasteful number, since it uses less digits than its factorization.

16566090093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 16566090093 in words is "sixteen billion, five hundred sixty-six million, ninety thousand, ninety-three".

Divisors: 1 3 7 9 21 31 63 73 93 131 217 219 279 393 511 651 657 887 917 1179 1533 1953 2263 2661 2751 4061 4599 6209 6789 7983 8253 9563 12183 15841 18627 20367 27497 28427 28689 36549 47523 55881 64751 66941 82491 85281 86067 116197 142569 192479 194253 200823 247473 255843 296453 348591 453257 577437 582759 602469 813379 889359 1045773 1359771 1732311 2007281 2075171 2440137 2668077 3602107 4079313 6021843 6225513 7320411 8482381 10806321 14050967 18065529 18676539 25214749 25447143 32418963 42152901 59376667 75644247 76341429 126458703 178130001 226932741 262953811 534390003 788861433 1840676677 2366584299 5522030031 16566090093