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54240561455560 = 2355574122759051
BaseRepresentation
bin11000101010100110111010…
…11001011110000111001000
321010001100100222200002022021
430111103131121132013020
524102134132213034220
6311205434150134224
714265515451154564
oct1425233531360710
9233040328602267
1054240561455560
1116312324990857
126100226351374
132435b2b01184c
14d573859c86a4
15640dc4ecd4aa
hex3154dd65e1c8

54240561455560 has 64 divisors (see below), whose sum is σ = 122265403888320. Its totient is φ = 21656380588800.

The previous prime is 54240561455461. The next prime is 54240561455573. The reversal of 54240561455560 is 6555416504245.

54240561455560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×542405614555603 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 54240561455498 and 54240561455507.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 918508035 + ... + 918567085.

It is an arithmetic number, because the mean of its divisors is an integer number (1910396935755).

Almost surely, 254240561455560 is an apocalyptic number.

It is an amenable number.

54240561455560 is an abundant number, since it is smaller than the sum of its proper divisors (68024842432760).

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

54240561455560 is a wasteful number, since it uses less digits than its factorization.

54240561455560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100846 (or 100842 counting only the distinct ones).

The product of its (nonzero) digits is 14400000, while the sum is 52.

The spelling of 54240561455560 in words is "fifty-four trillion, two hundred forty billion, five hundred sixty-one million, four hundred fifty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 557 1114 2228 2785 4456 5570 11140 22280 41227 59051 82454 118102 164908 206135 236204 295255 329816 412270 472408 590510 824540 1181020 1649080 2362040 22963439 32891407 45926878 65782814 91853756 114817195 131565628 164457035 183707512 229634390 263131256 328914070 459268780 657828140 918537560 1315656280 2434495577 4868991154 9737982308 12172477885 19475964616 24344955770 48689911540 97379823080 1356014036389 2712028072778 5424056145556 6780070181945 10848112291112 13560140363890 27120280727780 54240561455560