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450230546205 = 3451129187441
BaseRepresentation
bin1101000110100111101…
…01001110111100011101
31121001010100012111120000
412203103311032330131
524334033004434310
6542455535044513
744346063333066
oct6432365167435
91531110174500
10450230546205
11163a3a451200
1273311370739
13335c209bb2b
1417b1138756d
15baa162d4c0
hex68d3d4ef1d

450230546205 has 60 divisors (see below), whose sum is σ = 887121024636. Its totient is φ = 218293574400.

The previous prime is 450230546201. The next prime is 450230546237. The reversal of 450230546205 is 502645032054.

450230546205 is a `hidden beast` number, since 4 + 5 + 0 + 23 + 0 + 5 + 4 + 620 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 252729409284 + 197501136921 = 502722^2 + 444411^2 .

It is not a de Polignac number, because 450230546205 - 22 = 450230546201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 450230546205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450230546201) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 4544716 + ... + 4642725.

Almost surely, 2450230546205 is an apocalyptic number.

450230546205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

450230546205 is a deficient number, since it is larger than the sum of its proper divisors (436890478431).

450230546205 is a wasteful number, since it uses less digits than its factorization.

450230546205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9187480 (or 9187460 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 450230546205 its reverse (502645032054), we get a palindrome (952875578259).

The spelling of 450230546205 in words is "four hundred fifty billion, two hundred thirty million, five hundred forty-six thousand, two hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 121 135 165 297 363 405 495 605 891 1089 1485 1815 3267 4455 5445 9801 16335 49005 9187441 27562323 45937205 82686969 101061851 137811615 248060907 303185553 413434845 505309255 744182721 909556659 1111680361 1240304535 1515927765 2728669977 3335041083 3720913605 4547783295 5558401805 8186009931 10005123249 13643349885 16675205415 30015369747 40930049655 50025616245 90046109241 150076848735 450230546205