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4500519705 = 3351131591657
BaseRepresentation
bin1000011000100000…
…00111101100011001
3102121122112002102000
410030100013230121
533204113112310
62022325431213
7216345533463
oct41420075431
912548462360
104500519705
1119aa476080
12a5726b509
13569529216
14309a03133
151b51924c0
hex10c407b19

4500519705 has 128 divisors (see below), whose sum is σ = 9168076800. Its totient is φ = 2074636800.

The previous prime is 4500519697. The next prime is 4500519713. The reversal of 4500519705 is 5079150054.

4500519705 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4500519697) and next prime (4500519713).

It is not a de Polignac number, because 4500519705 - 23 = 4500519697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4500519705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2715237 + ... + 2716893.

It is an arithmetic number, because the mean of its divisors is an integer number (71625600).

Almost surely, 24500519705 is an apocalyptic number.

4500519705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4500519705 is an abundant number, since it is smaller than the sum of its proper divisors (4667557095).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4500519705 is a wasteful number, since it uses less digits than its factorization.

4500519705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 4500519705 is about 67085.9128655189. The cubic root of 4500519705 is about 1651.0271785971.

Adding to 4500519705 its reverse (5079150054), we get a palindrome (9579669759).

The spelling of 4500519705 in words is "four billion, five hundred million, five hundred nineteen thousand, seven hundred five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 59 93 99 135 155 165 177 279 295 297 341 465 495 531 649 837 885 1023 1395 1485 1593 1657 1705 1829 1947 2655 3069 3245 4185 4971 5115 5487 5841 7965 8285 9145 9207 9735 14913 15345 16461 17523 18227 20119 24855 27435 29205 44739 46035 49383 51367 54681 60357 74565 82305 87615 91135 97763 100595 154101 164043 181071 223695 246915 256835 273405 293289 301785 462303 488815 492129 543213 565037 770505 820215 879867 905355 1075393 1386909 1466445 1695111 2311515 2460645 2639601 2716065 2825185 3030653 3226179 4399335 5085333 5376965 6934545 8475555 9091959 9678537 13198005 15153265 15255999 16130895 25426665 27275877 29035611 33337183 45459795 48392685 76279995 81827631 100011549 136379385 145178055 166685915 300034647 409138155 500057745 900103941 1500173235 4500519705