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54413679168 = 2632831138171
BaseRepresentation
bin110010101011010011…
…101101101001000000
312012110011221022012200
4302223103231221000
51342414400213133
640555225553200
73634264433022
oct625323555100
9165404838180
1054413679168
1121093115592
12a667045800
1351922b20c4
1428c29aa012
1516370d1913
hexcab4eda40

54413679168 has 84 divisors (see below), whose sum is σ = 157846245648. Its totient is φ = 17919348480.

The previous prime is 54413679139. The next prime is 54413679179. The reversal of 54413679168 is 86197631445.

54413679168 is a `hidden beast` number, since 5 + 4 + 413 + 67 + 9 + 168 = 666.

It is a super-3 number, since 3×544136791683 (a number of 33 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 521278 + ... + 616893.

It is an arithmetic number, because the mean of its divisors is an integer number (1879121972).

Almost surely, 254413679168 is an apocalyptic number.

It is an amenable number.

54413679168 is an abundant number, since it is smaller than the sum of its proper divisors (103432566480).

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

54413679168 is a wasteful number, since it uses less digits than its factorization.

54413679168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138272 (or 1138259 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 54413679168 in words is "fifty-four billion, four hundred thirteen million, six hundred seventy-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 144 166 192 249 288 332 498 576 664 747 996 1328 1494 1992 2656 2988 3984 5312 5976 7968 11952 15936 23904 47808 1138171 2276342 3414513 4552684 6829026 9105368 10243539 13658052 18210736 20487078 27316104 36421472 40974156 54632208 72842944 81948312 94468193 109264416 163896624 188936386 218528832 283404579 327793248 377872772 566809158 655586496 755745544 850213737 1133618316 1511491088 1700427474 2267236632 3022982176 3400854948 4534473264 6045964352 6801709896 9068946528 13603419792 18137893056 27206839584 54413679168