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54220043423304 = 23321126223604617
BaseRepresentation
bin11000101010000000101100…
…11011011000111001001000
321002222101102001101001101200
430111000112123120321020
524101320122104021204
6311152202153344200
714264161135601553
oct1425002633307110
9232871361331350
1054220043423304
1116304655aa9500
1260b825aa08060
132433c0b20a265
14d5639a9b569a
156405c3a36539
hex3150166d8e48

54220043423304 has 72 divisors (see below), whose sum is σ = 161409185767830. Its totient is φ = 16430316186240.

The previous prime is 54220043423281. The next prime is 54220043423309. The reversal of 54220043423304 is 40332434002245.

54220043423304 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 0 + 0 + 4 + 342 + 3 + 304 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53184961011204 + 1035082412100 = 7292802^2 + 1017390^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54220043423309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3111793597 + ... + 3111811020.

Almost surely, 254220043423304 is an apocalyptic number.

It is an amenable number.

54220043423304 is an abundant number, since it is smaller than the sum of its proper divisors (107189142344526).

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

54220043423304 is a wasteful number, since it uses less digits than its factorization.

54220043423304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6223604651 (or 6223604633 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 36.

Adding to 54220043423304 its reverse (40332434002245), we get a palindrome (94552477425549).

The spelling of 54220043423304 in words is "fifty-four trillion, two hundred twenty billion, forty-three million, four hundred twenty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 6223604617 12447209234 18670813851 24894418468 37341627702 49788836936 56012441553 68459650787 74683255404 112024883106 136919301574 149366510808 205378952361 224049766212 273838603148 410757904722 448099532424 547677206296 616136857083 753056158657 821515809444 1232273714166 1506112317314 1643031618888 2259168475971 2464547428332 3012224634628 4518336951942 4929094856664 6024449269256 6777505427913 9036673903884 13555010855826 18073347807768 27110021711652 54220043423304