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54061515565360 = 24579197311139619
BaseRepresentation
bin11000100101011001011010…
…11011100110100100110000
321002102020012222020110122121
430102230231123212210300
524041220440441042420
6310551303431244024
714246546516205652
oct1422545533464460
9232366188213577
1054061515565360
11162533a6179476
126091598219614
132421c95c5a914
14d4c83c7d26d2
1563b3e643e2aa
hex312b2d6e6930

54061515565360 has 160 divisors (see below), whose sum is σ = 128342456985600. Its totient is φ = 21174041441280.

The previous prime is 54061515565349. The next prime is 54061515565373. The reversal of 54061515565360 is 6356551516045.

It is a junction number, because it is equal to n+sod(n) for n = 54061515565298 and 54061515565307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387137631 + ... + 387277249.

It is an arithmetic number, because the mean of its divisors is an integer number (802140356160).

Almost surely, 254061515565360 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 54061515565360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64171228492800).

54061515565360 is an abundant number, since it is smaller than the sum of its proper divisors (74280941420240).

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

54061515565360 is a wasteful number, since it uses less digits than its factorization.

54061515565360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140219 (or 140213 counting only the distinct ones).

The product of its (nonzero) digits is 8100000, while the sum is 52.

The spelling of 54061515565360 in words is "fifty-four trillion, sixty-one billion, five hundred fifteen million, five hundred sixty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 197 311 316 394 395 622 632 788 790 985 1244 1264 1555 1576 1580 1970 2488 3110 3152 3160 3940 4976 6220 6320 7880 12440 15563 15760 24569 24880 31126 49138 61267 62252 77815 98276 122534 122845 124504 139619 155630 196552 245068 245690 249008 279238 306335 311260 393104 490136 491380 558476 612670 622520 698095 980272 982760 1116952 1225340 1245040 1396190 1965520 2233904 2450680 2792380 4840093 4901360 5584760 9680186 11029901 11169520 19360372 22059802 24200465 27504943 38720744 43421509 44119604 48400930 55009886 55149505 77441488 86843018 88239208 96801860 110019772 110299010 137524715 173686036 176478416 193603720 217107545 220039544 220598020 275049430 347372072 387207440 434215090 440079088 441196040 550098860 694744144 868430180 882392080 1100197720 1736860360 2172890497 2200395440 3430299211 3473720720 4345780994 6860598422 8554037273 8691561988 10864452485 13721196844 17108074546 17151496055 17383123976 21728904970 27442393688 34216149092 34302992110 34766247952 42770186365 43457809940 54884787376 68432298184 68605984220 85540372730 86915619880 136864596368 137211968440 171080745460 173831239760 274423936880 342161490920 675768944567 684322981840 1351537889134 2703075778268 3378844722835 5406151556536 6757689445670 10812303113072 13515378891340 27030757782680 54061515565360