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54244048350352 = 24753109660712689
BaseRepresentation
bin11000101010101101011010…
…01110111010110010010000
321010001200100222212200201211
430111112231032322302100
524102213302334202402
6311211212150305504
714266001041242610
oct1425265516726220
9233050328780654
1054244048350352
1116313854177493
126100a3a058294
1324362655400c3
14d575d6b34a40
1564102b19c4d7
hex3155ad3bac90

54244048350352 has 160 divisors (see below), whose sum is σ = 123529243622400. Its totient is φ = 22594361647104.

The previous prime is 54244048350343. The next prime is 54244048350353. The reversal of 54244048350352 is 25305384044245.

54244048350352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54244048350296 and 54244048350305.

It is not an unprimeable number, because it can be changed into a prime (54244048350353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4274881224 + ... + 4274893912.

It is an arithmetic number, because the mean of its divisors is an integer number (772057772640).

Almost surely, 254244048350352 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 54244048350352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61764621811200).

54244048350352 is an abundant number, since it is smaller than the sum of its proper divisors (69285195272048).

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

54244048350352 is a wasteful number, since it uses less digits than its factorization.

54244048350352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19473 (or 19467 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 49.

The spelling of 54244048350352 in words is "fifty-four trillion, two hundred forty-four billion, forty-eight million, three hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 109 112 212 218 371 424 436 742 763 848 872 1484 1526 1744 2968 3052 5777 5936 6104 6607 11554 12208 12689 13214 23108 25378 26428 40439 46216 46249 50756 52856 80878 88823 92432 92498 101512 105712 161756 177646 184996 203024 323512 350171 355292 369992 647024 672517 700342 710584 720163 739984 1345034 1383101 1400684 1421168 1440326 2451197 2690068 2766202 2801368 2880652 4707619 4902394 5041141 5380136 5532404 5602736 5761304 9415238 9681707 9804788 10082282 10760272 11064808 11522608 18830476 19363414 19609576 20164564 22129616 37660952 38168639 38726828 39219152 40329128 73304353 75321904 76337278 77453656 80658256 83836223 146608706 152674556 154907312 167672446 267180473 293217412 305349112 335344892 513130471 534360946 586434824 586853561 610698224 670689784 1026260942 1068721892 1172869648 1173707122 1341379568 2052521884 2137443784 2347414244 4105043768 4274887568 4443319819 4694828488 8210087536 8886639638 9138148307 9389656976 17773279276 18276296614 31103238733 35546558552 36552593228 62206477466 63967038149 71093117104 73105186456 124412954932 127934076298 146210372912 248825909864 255868152596 484321860271 497651819728 511736305192 968643720542 1023472610384 1937287441084 3390253021897 3874574882168 6780506043794 7749149764336 13561012087588 27122024175176 54244048350352