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54747908560 = 2458919339841
BaseRepresentation
bin110010111111001110…
…101100100111010000
312020022110211220202001
4302333032230213100
51344110431033220
641052325403344
73645463354522
oct627716544720
9166273756661
1054747908560
1121244849024
12a73ab69554
135216605c87
14291512da12
15165660280a
hexcbf3ac9d0

54747908560 has 80 divisors (see below), whose sum is σ = 129389285520. Its totient is φ = 21540372480.

The previous prime is 54747908543. The next prime is 54747908569. The reversal of 54747908560 is 6580974745.

It can be written as a sum of positive squares in 8 ways, for example, as 11731489344 + 43016419216 = 108312^2 + 207404^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54747908569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1354240 + ... + 1394080.

It is an arithmetic number, because the mean of its divisors is an integer number (1617366069).

Almost surely, 254747908560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54747908560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64694642760).

54747908560 is an abundant number, since it is smaller than the sum of its proper divisors (74641376960).

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

54747908560 is a wasteful number, since it uses less digits than its factorization.

54747908560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40136 (or 40130 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 54747908560 in words is "fifty-four billion, seven hundred forty-seven million, nine hundred eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 193 356 386 445 712 772 890 965 1424 1544 1780 1930 3088 3560 3860 7120 7720 15440 17177 34354 39841 68708 79682 85885 137416 159364 171770 199205 274832 318728 343540 398410 637456 687080 796820 1374160 1593640 3187280 3545849 7091698 7689313 14183396 15378626 17729245 28366792 30757252 35458490 38446565 56733584 61514504 70916980 76893130 123029008 141833960 153786260 283667920 307572520 615145040 684348857 1368697714 2737395428 3421744285 5474790856 6843488570 10949581712 13686977140 27373954280 54747908560