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54255332240000 = 2754678191653
BaseRepresentation
bin11000101011000010011011…
…10011100010101010000000
321010002202111101111200100122
430111201031303202222000
524102404410023140000
6311220315555235412
714266550465566223
oct1425411563425200
9233082441450318
1054255332240000
1116318614685821
126103068ba8b68
132437343214698
14d57d875c35ba
1564148bb17085
hex31584dce2a80

54255332240000 has 80 divisors (see below), whose sum is σ = 135065258852370. Its totient is φ = 21702132864000.

The previous prime is 54255332239891. The next prime is 54255332240017. The reversal of 54255332240000 is 4223355245.

It can be written as a sum of positive squares in 5 ways, for example, as 3023063780416 + 51232268459584 = 1738696^2 + 7157672^2 .

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

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 339015827 + ... + 339175826.

Almost surely, 254255332240000 is an apocalyptic number.

54255332240000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54255332240000 is an abundant number, since it is smaller than the sum of its proper divisors (80809926612370).

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

54255332240000 is an frugal number, since it uses more digits than its factorization.

54255332240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678191687 (or 678191660 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

Adding to 54255332240000 its reverse (4223355245), we get a palindrome (54259555595245).

The spelling of 54255332240000 in words is "fifty-four trillion, two hundred fifty-five billion, three hundred thirty-two million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000 678191653 1356383306 2712766612 3390958265 5425533224 6781916530 10851066448 13563833060 16954791325 21702132896 27127666120 33909582650 43404265792 54255332240 67819165300 84773956625 86808531584 108510664480 135638330600 169547913250 217021328960 271276661200 339095826500 423869783125 434042657920 542553322400 678191653000 847739566250 1085106644800 1356383306000 1695479132500 2170213289600 2712766612000 3390958265000 5425533224000 6781916530000 10851066448000 13563833060000 27127666120000 54255332240000