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54518405460964 = 2273210324912
BaseRepresentation
bin11000110010101100011100…
…01100001111001111100100
321011000220112102011222012221
430121112032030033033210
524121212143244222324
6311541224255322124
714324552624223634
oct1431261614171744
9234026472158187
1054518405460964
111640a142655415
126146047820344
1324560a98a0b83
14d669c23806c4
156482374e80e4
hex31958e30f3e4

54518405460964 has 81 divisors (see below), whose sum is σ = 97879671954729. Its totient is φ = 26570536332480.

The previous prime is 54518405460941. The next prime is 54518405460997. The reversal of 54518405460964 is 46906450481545.

The square root of 54518405460964 is 7383658.

It is a perfect power (a square), and thus also a powerful number.

54518405460964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 30947302780900 + 23571102680064 = 5563030^2 + 4855008^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 111035448759 + ... + 111035449249.

Almost surely, 254518405460964 is an apocalyptic number.

54518405460964 is the 7383658-th square number.

It is an amenable number.

54518405460964 is a deficient number, since it is larger than the sum of its proper divisors (43361266493765).

54518405460964 is an frugal number, since it uses more digits than its factorization.

54518405460964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 61.

The spelling of 54518405460964 in words is "fifty-four trillion, five hundred eighteen billion, four hundred five million, four hundred sixty thousand, nine hundred sixty-four".

Divisors: 1 2 4 73 103 146 206 292 412 491 982 1964 5329 7519 10609 10658 15038 21218 21316 30076 35843 42436 50573 71686 101146 143372 202292 241081 482162 548887 774457 964324 1097774 1548914 2195548 2616539 3097828 3691829 5209019 5233078 7383658 10418038 10466156 14767316 17598913 20836076 24831343 35197826 49662686 56535361 70395652 99325372 113070722 226141444 269503517 380258387 539007034 760516774 1078014068 1284720649 1521033548 1812688039 2557628329 2569441298 3625376078 5115256658 5138882596 7250752156 10230513316 27758862251 55517724502 111035449004 132326226847 186706868017 264652453694 373413736034 529304907388 746827472068 13629601365241 27259202730482 54518405460964