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163318813361 = 11191422154949
BaseRepresentation
bin1001100000011010001…
…1110101001010110001
3120121112222011100001022
42120012203311022301
510133434104011421
6203005544545225
714541123002624
oct2300643651261
9517488140038
10163318813361
1163299237820
122779b182215
1312529a08202
147c945c9dbb
1543ad0097ab
hex26068f52b1

163318813361 has 16 divisors (see below), whose sum is σ = 187559736000. Its totient is φ = 140644900800.

The previous prime is 163318813321. The next prime is 163318813363.

163318813361 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 163318813361 - 230 = 162245071537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (163318813363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2944715 + ... + 2999663.

It is an arithmetic number, because the mean of its divisors is an integer number (11722483500).

Almost surely, 2163318813361 is an apocalyptic number.

163318813361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

163318813361 is a deficient number, since it is larger than the sum of its proper divisors (24240922639).

163318813361 is a wasteful number, since it uses less digits than its factorization.

163318813361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69200.

The product of its digits is 186624, while the sum is 44.

It can be divided in two parts, 163318 and 813361, that added together give a palindrome (976679).

The spelling of 163318813361 in words is "one hundred sixty-three billion, three hundred eighteen million, eight hundred thirteen thousand, three hundred sixty-one".

Divisors: 1 11 19 209 14221 54949 156431 270199 604439 1044031 2972189 11484341 781429729 8595727019 14847164851 163318813361