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112827485345445 = 3451356937662077
BaseRepresentation
bin11001101001110110110010…
…001011110101011010100101
3112210111012110110001120220000
4121221312302023311122211
5104242031142222023240
61035544121535331513
732523342160433253
oct3151666213653245
9483435413046800
10112827485345445
1132a4a9600865a2
12107a2880680b99
134ac5780bb67c0
141dc0c452175d3
15d09d7d988430
hex669db22f56a5

112827485345445 has 80 divisors (see below), whose sum is σ = 218194495651440. Its totient is φ = 55448217363456.

The previous prime is 112827485345437. The next prime is 112827485345447. The reversal of 112827485345445 is 544543584728211.

112827485345445 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 2 + 7 + 4 + 8 + 534 + 54 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20728588813956 + 92098896531489 = 4552866^2 + 9596817^2 .

It is not a de Polignac number, because 112827485345445 - 23 = 112827485345437 is a prime.

It is a super-4 number, since 4×1128274853454454 (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112827485345447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15835254 + ... + 21826823.

It is an arithmetic number, because the mean of its divisors is an integer number (2727431195643).

Almost surely, 2112827485345445 is an apocalyptic number.

112827485345445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112827485345445 is a deficient number, since it is larger than the sum of its proper divisors (105367010305995).

112827485345445 is a wasteful number, since it uses less digits than its factorization.

112827485345445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37662676 (or 37662667 counting only the distinct ones).

The product of its digits is 172032000, while the sum is 63.

The spelling of 112827485345445 in words is "one hundred twelve trillion, eight hundred twenty-seven billion, four hundred eighty-five million, three hundred forty-five thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 569 585 1053 1707 1755 2845 5121 5265 7397 8535 15363 22191 25605 36985 46089 66573 76815 110955 199719 230445 332865 599157 998595 2995785 37662077 112986231 188310385 338958693 489607001 564931155 1016876079 1468821003 1694793465 2448035005 3050628237 4406463009 5084380395 7344105015 13219389027 15253141185 21429721813 22032315045 39658167081 64289165439 66096945135 107148609065 192867496317 198290835405 278586383569 321445827195 578602488951 835759150707 964337481585 1392931917845 1735807466853 2507277452121 2893012444755 4178795753535 7521832356363 8679037334265 12536387260605 22565497069089 37609161781815 112827485345445