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2113027163775 = 335211594823437
BaseRepresentation
bin11110101111111010001…
…110111100011001111111
321111000002111101200101000
4132233322032330121333
5234104434423220100
64254413345221343
7305442532354623
oct36577216743177
97430074350330
102113027163775
11745147824940
122a1628631853
13124346c66838
14743b1b0b183
1539e70c32900
hex1ebfa3bc67f

2113027163775 has 96 divisors (see below), whose sum is σ = 4306365446400. Its totient is φ = 1007133436800.

The previous prime is 2113027163771. The next prime is 2113027163881. The reversal of 2113027163775 is 5773617203112.

2113027163775 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 0 + 2 + 7 + 1 + 637 + 7 + 5 = 666.

It is not a de Polignac number, because 2113027163775 - 22 = 2113027163771 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2113027163775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113027163771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1973644 + ... + 2849793.

It is an arithmetic number, because the mean of its divisors is an integer number (44857973400).

Almost surely, 22113027163775 is an apocalyptic number.

2113027163775 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2113027163775 is an abundant number, since it is smaller than the sum of its proper divisors (2193338282625).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2113027163775 is a wasteful number, since it uses less digits than its factorization.

2113027163775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823526 (or 4823515 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 2113027163775 in words is "two trillion, one hundred thirteen billion, twenty-seven million, one hundred sixty-three thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 59 75 99 135 165 177 225 275 295 297 495 531 649 675 825 885 1475 1485 1593 1947 2475 2655 3245 4425 5841 7425 7965 9735 13275 16225 17523 29205 39825 48675 87615 146025 438075 4823437 14470311 24117185 43410933 53057807 72351555 120585925 130232799 159173421 217054665 265289035 284582783 361757775 477520263 651163995 795867105 853748349 1085273325 1326445175 1422913915 1432560789 2387601315 2561245047 3130410613 3255819975 3979335525 4268741745 7114569575 7162803945 7683735141 9391231839 11938006575 12806225235 15652053065 21343708725 28173695517 35814019725 38418675705 46956159195 64031126175 78260265325 84521086551 140868477585 192093378525 234780795975 422605432755 704342387925 2113027163775