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105483371661 = 336171902053
BaseRepresentation
bin110001000111101001…
…1001000010010001101
3101002021022120111002000
41202033103020102031
53212012220343121
6120243002422513
710422655602543
oct1421723102215
9332238514060
10105483371661
114080a682418
121853a201a39
139c40850865
1451693c9d93
152b25822526
hex188f4c848d

105483371661 has 32 divisors (see below), whose sum is σ = 161070762240. Its totient is φ = 68195131200.

The previous prime is 105483371629. The next prime is 105483371671. The reversal of 105483371661 is 166173384501.

105483371661 is a `hidden beast` number, since 1 + 0 + 5 + 483 + 3 + 7 + 166 + 1 = 666.

It is not a de Polignac number, because 105483371661 - 25 = 105483371629 is a prime.

It is a super-3 number, since 3×1054833716613 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105483371671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334090 + ... + 567963.

It is an arithmetic number, because the mean of its divisors is an integer number (5033461320).

Almost surely, 2105483371661 is an apocalyptic number.

It is an amenable number.

105483371661 is a deficient number, since it is larger than the sum of its proper divisors (55587390579).

105483371661 is an equidigital number, since it uses as much as digits as its factorization.

105483371661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902194 (or 902188 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 105483371661 in words is "one hundred five billion, four hundred eighty-three million, three hundred seventy-one thousand, six hundred sixty-one".

Divisors: 1 3 9 27 61 71 183 213 549 639 1647 1917 4331 12993 38979 116937 902053 2706159 8118477 24355431 55025233 64045763 165075699 192137289 495227097 576411867 1485681291 1729235601 3906791543 11720374629 35161123887 105483371661