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54252633625245 = 33511347105284611
BaseRepresentation
bin11000101010111101011001…
…11101001001001010011101
321010002111112022120211212000
430111132230331021022131
524102333343202001440
6311215152114432513
714266423560002556
oct1425365475111235
9233074468524760
1054252633625245
111631745a3555a0
126102635292739
1324370030c4613
14d57bad03132d
1564137ec57730
hex3157acf4929d

54252633625245 has 64 divisors (see below), whose sum is σ = 105520449530880. Its totient is φ = 26228502043200.

The previous prime is 54252633625241. The next prime is 54252633625271.

54252633625245 is a `hidden beast` number, since 5 + 4 + 2 + 5 + 2 + 6 + 3 + 3 + 625 + 2 + 4 + 5 = 666.

54252633625245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54252633625245 - 22 = 54252633625241 is a prime.

It is a super-2 number, since 2×542526336252452 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54252633625191 and 54252633625200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54252633625241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52127011 + ... + 53157600.

It is an arithmetic number, because the mean of its divisors is an integer number (1648757023920).

Almost surely, 254252633625245 is an apocalyptic number.

54252633625245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54252633625245 is a deficient number, since it is larger than the sum of its proper divisors (51267815905635).

54252633625245 is a wasteful number, since it uses less digits than its factorization.

54252633625245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105284983 (or 105284977 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

The spelling of 54252633625245 in words is "fifty-four trillion, two hundred fifty-two billion, six hundred thirty-three million, six hundred twenty-five thousand, two hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 347 495 1041 1485 1735 3123 3817 5205 9369 11451 15615 19085 34353 46845 57255 103059 171765 515295 105284611 315853833 526423055 947561499 1158130721 1579269165 2842684497 3474392163 4737807495 5790653605 10423176489 14213422485 17371960815 31269529467 36533760017 52115882445 109601280051 156347647335 182668800085 328803840153 401871360187 548006400255 986411520459 1205614080561 1644019200765 2009356800935 3616842241683 4932057602295 6028070402805 10850526725049 18084211208415 54252633625245