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106927063569 = 3237321102293
BaseRepresentation
bin110001110010101011…
…0011000001000010001
3101012222221010122001200
41203211112120020101
53222441312013234
6121042134021413
710503516021054
oct1434526301021
9335887118050
10106927063569
11413905a3527
12188817a7869
13a110989421
145265032a9b
152bac447d99
hex18e5598211

106927063569 has 12 divisors (see below), whose sum is σ = 158624533236. Its totient is φ = 69358095072.

The previous prime is 106927063561. The next prime is 106927063577. The reversal of 106927063569 is 965360729601.

106927063569 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 2 + 70 + 6 + 3 + 569 = 666.

It is an interprime number because it is at equal distance from previous prime (106927063561) and next prime (106927063577).

It can be written as a sum of positive squares in 2 ways, for example, as 86709636225 + 20217427344 = 294465^2 + 142188^2 .

It is not a de Polignac number, because 106927063569 - 23 = 106927063561 is a prime.

It is a super-2 number, since 2×1069270635692 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106927063561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160550814 + ... + 160551479.

It is an arithmetic number, because the mean of its divisors is an integer number (13218711103).

Almost surely, 2106927063569 is an apocalyptic number.

It is an amenable number.

106927063569 is a deficient number, since it is larger than the sum of its proper divisors (51697469667).

106927063569 is a wasteful number, since it uses less digits than its factorization.

106927063569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321102336 (or 321102333 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 106927063569 in words is "one hundred six billion, nine hundred twenty-seven million, sixty-three thousand, five hundred sixty-nine".

Divisors: 1 3 9 37 111 333 321102293 963306879 2889920637 11880784841 35642354523 106927063569