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54208472960640 = 273547600714461
BaseRepresentation
bin11000101001101011001001…
…10001100100111010000000
321002221021112200111122111110
430110311210301210322000
524101122423034220030
6311143010110243320
714263301331360345
oct1424654461447200
9232837480448443
1054208472960640
11162aa758857669
1260b5b6bab6540
132432ab605954b
14d559c004a7cc
15640147d611b0
hex314d64c64e80

54208472960640 has 128 divisors (see below), whose sum is σ = 176465880357120. Its totient is φ = 14148026961920.

The previous prime is 54208472960611. The next prime is 54208472960659. The reversal of 54208472960640 is 4606927480245.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 300266991 + ... + 300447470.

It is an arithmetic number, because the mean of its divisors is an integer number (1378639690290).

Almost surely, 254208472960640 is an apocalyptic number.

It is an amenable number.

54208472960640 is an abundant number, since it is smaller than the sum of its proper divisors (122257407396480).

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

54208472960640 is a wasteful number, since it uses less digits than its factorization.

54208472960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600714530 (or 600714518 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 54208472960640 in words is "fifty-four trillion, two hundred eight billion, four hundred seventy-two million, nine hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 282 320 376 384 470 480 564 640 705 752 940 960 1128 1410 1504 1880 1920 2256 2820 3008 3760 4512 5640 6016 7520 9024 11280 15040 18048 22560 30080 45120 90240 600714461 1201428922 1802143383 2402857844 3003572305 3604286766 4805715688 6007144610 7208573532 9010716915 9611431376 12014289220 14417147064 18021433830 19222862752 24028578440 28233579667 28834294128 36042867660 38445725504 48057156880 56467159334 57668588256 72085735320 76891451008 84700739001 96114313760 112934318668 115337176512 141167898335 144171470640 169401478002 192228627520 225868637336 230674353024 282335796670 288342941280 338802956004 384457255040 423503695005 451737274672 564671593340 576685882560 677605912008 847007390010 903474549344 1129343186680 1153371765120 1355211824016 1694014780020 1806949098688 2258686373360 2710423648032 3388029560040 3613898197376 4517372746720 5420847296064 6776059120080 9034745493440 10841694592128 13552118240160 18069490986880 27104236480320 54208472960640