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54227344372245 = 3351125179640993
BaseRepresentation
bin11000101010001110010011…
…00110010011001000010101
321010000002020212101200112000
430111013021212103020111
524101430100124402440
6311155410442145513
714264540100622152
oct1425071146231025
9233002225350460
1054227344372245
1116307762215500
1260b9757ab2299
132434802983ba5
14d568904b1229
1564089e99a730
hex3151c9993215

54227344372245 has 96 divisors (see below), whose sum is σ = 105985537526400. Its totient is φ = 26286928081920.

The previous prime is 54227344372199. The next prime is 54227344372277.

54227344372245 is a `hidden beast` number, since 5 + 4 + 2 + 27 + 3 + 4 + 4 + 372 + 245 = 666.

54227344372245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54227344372245 - 28 = 54227344371989 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54227344372191 and 54227344372200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84278469 + ... + 84919461.

It is an arithmetic number, because the mean of its divisors is an integer number (1104016015900).

Almost surely, 254227344372245 is an apocalyptic number.

54227344372245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54227344372245 is a deficient number, since it is larger than the sum of its proper divisors (51758193154155).

54227344372245 is a wasteful number, since it uses less digits than its factorization.

54227344372245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646208 (or 646191 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 54.

It can be divided in two parts, 5422734 and 4372245, that added together give a palindrome (9794979).

The spelling of 54227344372245 in words is "fifty-four trillion, two hundred twenty-seven billion, three hundred forty-four million, three hundred seventy-two thousand, two hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 121 135 165 297 363 495 605 1089 1485 1815 3267 5179 5445 15537 16335 25895 46611 56969 77685 139833 170907 233055 284845 512721 626659 640993 699165 854535 1538163 1879977 1922979 2563605 3133295 3204965 5639931 5768937 7050923 7690815 9399885 9614895 16919793 17306811 21152769 28199655 28844685 35254615 63458307 77560153 84598965 86534055 105763845 190374921 232680459 317291535 387800765 698041377 951874605 1163402295 2094124131 3319702747 3490206885 9959108241 10470620655 16598513735 29877324723 36516730217 49795541205 89631974169 109550190651 149386623615 182583651085 328650571953 401684032387 448159870845 547750953255 985951715859 1205052097161 1643252859765 2008420161935 3615156291483 4929758579295 6025260485805 10845468874449 18075781457415 54227344372245