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54540000333 = 327134711511231
BaseRepresentation
bin110010110010110101…
…100101110001001101
312012202222122002021100
4302302311211301031
51343144220002313
641015541253313
73640360232220
oct626265456115
9165688562240
1054540000333
1121148454545
12a6a1404239
1351b2510260
1428d568d5b7
151643235173
hexcb2d65c4d

54540000333 has 96 divisors (see below), whose sum is σ = 99189522432. Its totient is φ = 28108944000.

The previous prime is 54540000313. The next prime is 54540000373. The reversal of 54540000333 is 33300004545.

It is a happy number.

It is not a de Polignac number, because 54540000333 - 28 = 54540000077 is a prime.

It is a super-2 number, since 2×545400003332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54540000297 and 54540000306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54540000313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44304828 + ... + 44306058.

It is an arithmetic number, because the mean of its divisors is an integer number (1033224192).

Almost surely, 254540000333 is an apocalyptic number.

It is an amenable number.

54540000333 is a deficient number, since it is larger than the sum of its proper divisors (44649522099).

54540000333 is a wasteful number, since it uses less digits than its factorization.

54540000333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 54540000333 its reverse (33300004545), we get a palindrome (87840004878).

The spelling of 54540000333 in words is "fifty-four billion, five hundred forty million, three hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 7 9 13 21 39 47 63 91 117 141 273 329 423 611 819 987 1151 1231 1833 2961 3453 3693 4277 5499 8057 8617 10359 11079 12831 14963 16003 24171 25851 38493 44889 48009 54097 57857 72513 77553 104741 112021 134667 144027 162291 173571 314223 336063 378679 404999 486873 520713 703261 752141 942669 1008189 1136037 1214997 1416881 2109783 2256423 3408111 3644991 4250643 4922827 5264987 6329349 6769269 9918167 12751929 14768481 15794961 18419453 29754501 44305443 47384883 55258359 66593407 89263503 128936171 165775077 199780221 386808513 466153849 599340663 865714291 1160425539 1398461547 2597142873 4195384641 6060000037 7791428619 18180000111 54540000333