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54081737568 = 25321079917389
BaseRepresentation
bin110010010111100001…
…011101001101100000
312011121001022220221100
4302113201131031200
51341224411100233
640502251154400
73623124120165
oct622741351540
9164531286840
1054081737568
1120a32804991
12a593a45a00
13513b5ac661
14289088006c
151617db3813
hexc9785d360

54081737568 has 72 divisors (see below), whose sum is σ = 153818028000. Its totient is φ = 18024539904.

The previous prime is 54081737557. The next prime is 54081737573. The reversal of 54081737568 is 86573718045.

It is a happy number.

54081737568 is a `hidden beast` number, since 5 + 4 + 0 + 8 + 1 + 73 + 7 + 568 = 666.

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

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 11 ways as a sum of consecutive naturals, for example, 3101418 + ... + 3118806.

It is an arithmetic number, because the mean of its divisors is an integer number (2136361500).

Almost surely, 254081737568 is an apocalyptic number.

It is an amenable number.

54081737568 is an abundant number, since it is smaller than the sum of its proper divisors (99736290432).

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

54081737568 is a wasteful number, since it uses less digits than its factorization.

54081737568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28204 (or 28193 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 54081737568 in words is "fifty-four billion, eighty-one million, seven hundred thirty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10799 17389 21598 32397 34778 43196 52167 64794 69556 86392 97191 104334 129588 139112 156501 172784 194382 208668 259176 278224 313002 345568 388764 417336 518352 556448 626004 777528 834672 1036704 1252008 1555056 1669344 2504016 3110112 5008032 187783811 375567622 563351433 751135244 1126702866 1502270488 1690054299 2253405732 3004540976 3380108598 4506811464 6009081952 6760217196 9013622928 13520434392 18027245856 27040868784 54081737568