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54054855009 = 367921092
BaseRepresentation
bin110010010101111010…
…111010000101100001
312011112011202011000000
4302111322322011201
51341201020330014
640455451050213
73622346454321
oct622572720541
9164464664000
1054054855009
1120a196136a1
12a586a40969
135135b5960c
14288b083281
151615853509
hexc95eba161

54054855009 has 63 divisors (see below), whose sum is σ = 82844056323. Its totient is φ = 35253985104.

The previous prime is 54054854983. The next prime is 54054855013. The reversal of 54054855009 is 90055845045.

The square root of 54054855009 is 232497.

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

54054855009 is a `hidden beast` number, since 5 + 40 + 54 + 8 + 550 + 0 + 9 = 666.

54054855009 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., 37675974609 + 16378880400 = 194103^2 + 127980^2 .

It is not a de Polignac number, because 54054855009 - 213 = 54054846817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54054855209) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 495916047 + ... + 495916155.

It is an arithmetic number, because the mean of its divisors is an integer number (1314985021).

Almost surely, 254054855009 is an apocalyptic number.

54054855009 is the 232497-th square number.

54054855009 is the 116249-th centered octagonal number.

It is an amenable number.

54054855009 is a deficient number, since it is larger than the sum of its proper divisors (28789201314).

54054855009 is an frugal number, since it uses more digits than its factorization.

54054855009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 54054855009 in words is "fifty-four billion, fifty-four million, eight hundred fifty-five thousand, nine".

Divisors: 1 3 9 27 79 81 109 237 243 327 711 729 981 2133 2943 6241 6399 8611 8829 11881 18723 19197 25833 26487 35643 56169 57591 77499 79461 106929 168507 232497 320787 505521 680269 697491 938599 962361 1516563 2040807 2092473 2815797 2887083 4549689 6122421 6277419 8447391 8661249 18367263 25342173 55101789 74149321 76026519 165305367 222447963 228079557 495916101 667343889 684238671 2002031667 6006095001 18018285003 54054855009