Search a number
-
+
30464288246403 = 3311218475048647
BaseRepresentation
bin1101110110101000001010…
…00101000100101010000011
310222212100122121221102102000
412323110011011010222003
512443111330242341103
6144443033435355043
76262654314356064
oct673240505045203
9128770577842360
1030464288246403
119785917570500
1235002245b2a83
1313cca01a7017b
1477469d74a56b
1537c6a5636aa3
hex1bb505144a83

30464288246403 has 48 divisors (see below), whose sum is σ = 49635076001280. Its totient is φ = 18453205021680.

The previous prime is 30464288246323. The next prime is 30464288246419.

30464288246403 is a `hidden beast` number, since 3 + 0 + 464 + 28 + 82 + 46 + 40 + 3 = 666.

30464288246403 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30464288246403 - 221 = 30464286149251 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 30464288246403.

It is not an unprimeable number, because it can be changed into a prime (30464288266403) 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 47 ways as a sum of consecutive naturals, for example, 3509826 + ... + 8558472.

It is an arithmetic number, because the mean of its divisors is an integer number (1034064083360).

Almost surely, 230464288246403 is an apocalyptic number.

30464288246403 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30464288246403 is a deficient number, since it is larger than the sum of its proper divisors (19170787754877).

30464288246403 is a wasteful number, since it uses less digits than its factorization.

30464288246403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050525 (or 5050508 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 54.

The spelling of 30464288246403 in words is "thirty trillion, four hundred sixty-four billion, two hundred eighty-eight million, two hundred forty-six thousand, four hundred three".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 1847 3267 5541 16623 20317 49869 60951 182853 223487 548559 670461 2011383 5048647 6034149 15145941 45437823 55535117 136313469 166605351 499816053 610886287 1499448159 1832658861 5497976583 9324851009 16493929749 27974553027 83923659081 102573361099 251770977243 307720083297 923160249891 1128306972089 2769480749673 3384920916267 10154762748801 30464288246403