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54530160200240 = 24537101487374537
BaseRepresentation
bin11000110011000010010101…
…10101000000101000110000
321011002000212121210121002212
430121201022311000220300
524121410232002401430
6311550450524231252
714325450126654554
oct1431411265005060
9234060777717085
1054530160200240
111641412491aa7a
12614838839b528
132457230c921ba
14d673b9597864
156486c446db95
hex31984ad40a30

54530160200240 has 160 divisors (see below), whose sum is σ = 131768748653184. Its totient is φ = 20969221939200.

The previous prime is 54530160200237. The next prime is 54530160200353. The reversal of 54530160200240 is 4200206103545.

It is a junction number, because it is equal to n+sod(n) for n = 54530160200197 and 54530160200206.

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 31 ways as a sum of consecutive naturals, for example, 145406252 + ... + 145780788.

Almost surely, 254530160200240 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 54530160200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65884374326592).

54530160200240 is an abundant number, since it is smaller than the sum of its proper divisors (77238588452944).

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

54530160200240 is a wasteful number, since it uses less digits than its factorization.

54530160200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375175 (or 375169 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 54530160200240 its reverse (4200206103545), we get a palindrome (58730366303785).

The spelling of 54530160200240 in words is "fifty-four trillion, five hundred thirty billion, one hundred sixty million, two hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 101 148 185 202 296 370 404 487 505 592 740 808 974 1010 1480 1616 1948 2020 2435 2960 3737 3896 4040 4870 7474 7792 8080 9740 14948 18019 18685 19480 29896 36038 37370 38960 49187 59792 72076 74740 90095 98374 144152 149480 180190 196748 245935 288304 298960 360380 374537 393496 491870 720760 749074 786992 983740 1441520 1498148 1819919 1872685 1967480 2996296 3639838 3745370 3934960 5992592 7279676 7490740 9099595 13857869 14559352 14981480 18199190 27715738 29118704 29962960 36398380 37828237 55431476 69289345 72796760 75656474 110862952 138578690 145593520 151312948 182399519 189141185 221725904 277157380 302625896 364799038 378282370 554314760 605251792 729598076 756564740 911997595 1108629520 1399644769 1459196152 1513129480 1823995190 2799289538 2918392304 3026258960 3647990380 5598579076 6748782203 6998223845 7295980760 11197158152 13497564406 13996447690 14591961520 18422351419 22394316304 26995128812 27992895380 33743911015 36844702838 53990257624 55985790760 67487822030 73689405676 92111757095 107980515248 111971581520 134975644060 147378811352 184223514190 269951288120 294757622704 368447028380 539902576240 681627002503 736894056760 1363254005006 1473788113520 2726508010012 3408135012515 5453016020024 6816270025030 10906032040048 13632540050060 27265080100120 54530160200240