Search a number
-
+
5305541985 = 3351719911617
BaseRepresentation
bin1001111000011110…
…00010010101100001
3111200202022110101000
410330033002111201
541331204320420
62234244102213
7245322235302
oct47417022541
914622273330
105305541985
112282927247
121040994969
1366724a073
143848b87a9
15210bac690
hex13c3c2561

5305541985 has 64 divisors (see below), whose sum is σ = 10037952000. Its totient is φ = 2649563136.

The previous prime is 5305541981. The next prime is 5305541993. The reversal of 5305541985 is 5891455035.

5305541985 is a `hidden beast` number, since 5 + 3 + 0 + 554 + 1 + 98 + 5 = 666.

It is not a de Polignac number, because 5305541985 - 22 = 5305541981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 5305541985.

It is not an unprimeable number, because it can be changed into a prime (5305541981) 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, 450897 + ... + 462513.

It is an arithmetic number, because the mean of its divisors is an integer number (156843000).

Almost surely, 25305541985 is an apocalyptic number.

It is an amenable number.

5305541985 is a deficient number, since it is larger than the sum of its proper divisors (4732410015).

5305541985 is a wasteful number, since it uses less digits than its factorization.

5305541985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11847 (or 11841 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The square root of 5305541985 is about 72839.1514571662. The cubic root of 5305541985 is about 1744.1208955529.

The spelling of 5305541985 in words is "five billion, three hundred five million, five hundred forty-one thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 199 255 459 597 765 995 1791 2295 2985 3383 5373 8955 10149 11617 16915 26865 30447 34851 50745 58085 91341 104553 152235 174255 197489 313659 456705 522765 592467 987445 1568295 1777401 2311783 2962335 5332203 6935349 8887005 11558915 20806047 26661015 34676745 39300311 62418141 104030235 117900933 196501555 312090705 353702799 589504665 1061108397 1768513995 5305541985