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106283359593 = 32173372061313
BaseRepresentation
bin110001011111011111…
…0110101110101101001
3101011100001220002012200
41202332332311311221
53220132020001333
6120454221130413
710451541436065
oct1427676656551
9334301802180
10106283359593
1141090205174
12187220b9a09
13a03a4cb0b8
145203750aa5
152b70b95c13
hex18befb5d69

106283359593 has 24 divisors (see below), whose sum is σ = 163033446888. Its totient is φ = 66489679872.

The previous prime is 106283359579. The next prime is 106283359597. The reversal of 106283359593 is 395953382601.

106283359593 is a `hidden beast` number, since 1 + 0 + 6 + 283 + 359 + 5 + 9 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25725593664 + 80557765929 = 160392^2 + 283827^2 .

It is not a de Polignac number, because 106283359593 - 25 = 106283359561 is a prime.

It is a super-2 number, since 2×1062833595932 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106283359597) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979096 + ... + 1082217.

It is an arithmetic number, because the mean of its divisors is an integer number (6793060287).

Almost surely, 2106283359593 is an apocalyptic number.

It is an amenable number.

106283359593 is a deficient number, since it is larger than the sum of its proper divisors (56750087295).

106283359593 is a wasteful number, since it uses less digits than its factorization.

106283359593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061673 (or 2061670 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 106283359593 in words is "one hundred six billion, two hundred eighty-three million, three hundred fifty-nine thousand, five hundred ninety-three".

Divisors: 1 3 9 17 51 153 337 1011 3033 5729 17187 51561 2061313 6183939 18551817 35042321 105126963 315380889 694662481 2083987443 6251962329 11809262177 35427786531 106283359593