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1683113861 = 111329405863
BaseRepresentation
bin110010001010010…
…0100011110000101
311100022002001011102
41210110210132011
511421334120421
6435002545445
756465142332
oct14424443605
94308061142
101683113861
1179408a3a0
123ab808285
1320a916580
1411d76b989
159cb6a60b
hex64524785

1683113861 has 16 divisors (see below), whose sum is σ = 2045554560. Its totient is φ = 1363696320.

The previous prime is 1683113819. The next prime is 1683113897.

1683113861 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1683113861 - 226 = 1616004997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683113801) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 198785 + ... + 207078.

It is an arithmetic number, because the mean of its divisors is an integer number (127847160).

Almost surely, 21683113861 is an apocalyptic number.

1683113861 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1683113861 is a deficient number, since it is larger than the sum of its proper divisors (362440699).

1683113861 is a wasteful number, since it uses less digits than its factorization.

1683113861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405916.

The product of its digits is 20736, while the sum is 38.

The square root of 1683113861 is about 41025.7706935531. The cubic root of 1683113861 is about 1189.5184033855.

The spelling of 1683113861 in words is "one billion, six hundred eighty-three million, one hundred thirteen thousand, eight hundred sixty-one".

Divisors: 1 11 13 29 143 319 377 4147 405863 4464493 5276219 11770027 58038409 129470297 153010351 1683113861