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55444144144455 = 3351146180989423
BaseRepresentation
bin11001001101101000110001…
…00001000100000001000111
321021022102000201211122112000
430212310120201010001013
524231344101400110310
6313530404352200343
714451464402213013
oct1446643041040107
9237272021748460
1055444144144455
1116736802a42060
1262755438390b3
1324c248b9280c1
14d99721c77543
156623694ab4c0
hex326d18844047

55444144144455 has 64 divisors (see below), whose sum is σ = 107761287997440. Its totient is φ = 26823696566400.

The previous prime is 55444144144393. The next prime is 55444144144511.

It is a happy number.

55444144144455 is a `hidden beast` number, since 5 + 5 + 4 + 4 + 4 + 1 + 44 + 144 + 455 = 666.

55444144144455 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55444144144455 - 218 = 55444143882311 is a prime.

It is a super-2 number, since 2×554441441444552 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 39810127 + ... + 41179296.

It is an arithmetic number, because the mean of its divisors is an integer number (1683770124960).

Almost surely, 255444144144455 is an apocalyptic number.

55444144144455 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55444144144455 is a deficient number, since it is larger than the sum of its proper divisors (52317143852985).

55444144144455 is a wasteful number, since it uses less digits than its factorization.

55444144144455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80989909 (or 80989903 counting only the distinct ones).

The product of its digits is 40960000, while the sum is 54.

It can be divided in two parts, 5544414 and 4144455, that added together give a palindrome (9688869).

The spelling of 55444144144455 in words is "fifty-five trillion, four hundred forty-four billion, one hundred forty-four million, one hundred forty-four thousand, four hundred fifty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 461 495 1383 1485 2305 4149 5071 6915 12447 15213 20745 25355 45639 62235 76065 136917 228195 684585 80989423 242968269 404947115 728904807 890883653 1214841345 2186714421 2672650959 3644524035 4454418265 8017952877 10933572105 13363254795 24053858631 37336124003 40089764385 112008372009 120269293155 186680620015 336025116027 410697364033 560041860045 1008075348081 1232092092099 1680125580135 2053486820165 3696276276297 5040376740405 6160460460495 11088828828891 18481381381485 55444144144455