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1466327993 = 132233143283
BaseRepresentation
bin101011101100110…
…0110001110111001
310210012011011212012
41113121212032321
511000334443433
6401300255305
751223403504
oct12731461671
93705134765
101466327993
11692781a19
1234b0a1535
131a4a32b00
14dca5a13b
1588ae7848
hex576663b9

1466327993 has 48 divisors (see below), whose sum is σ = 1756237824. Its totient is φ = 1219458240.

The previous prime is 1466327987. The next prime is 1466328001. The reversal of 1466327993 is 3997236641.

It is not a de Polignac number, because 1466327993 - 218 = 1466065849 is a prime.

It is a super-3 number, since 3×14663279933 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1466327953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5181230 + ... + 5181512.

It is an arithmetic number, because the mean of its divisors is an integer number (36588288).

Almost surely, 21466327993 is an apocalyptic number.

1466327993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1466327993 is a deficient number, since it is larger than the sum of its proper divisors (289909831).

1466327993 is a wasteful number, since it uses less digits than its factorization.

1466327993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 393 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 50.

The square root of 1466327993 is about 38292.6623911161. The cubic root of 1466327993 is about 1136.0838212736.

The spelling of 1466327993 in words is "one billion, four hundred sixty-six million, three hundred twenty-seven thousand, nine hundred ninety-three".

Divisors: 1 13 23 31 43 169 283 299 403 559 713 989 1333 3679 3887 5239 6509 7267 8773 9269 12169 12857 17329 30659 47827 84617 114049 120497 158197 167141 201779 225277 279887 377239 398567 1100021 1482637 2056561 2623127 3638531 4904107 5181371 8676497 34100651 47300903 63753391 112794461 1466327993