Search a number
-
+
264804450753 = 32912919235601
BaseRepresentation
bin1111011010011110010…
…0110100000111000001
3221022111200021212200010
43312213210310013001
513314304414411003
6321352142215133
725063046456523
oct3664744640701
9838450255603
10264804450753
11a2337233217
12433a25844a9
131bc8124b71b
14cb60a91a13
156d4c8a3003
hex3da79341c1

264804450753 has 16 divisors (see below), whose sum is σ = 365277340800. Its totient is φ = 170434924800.

The previous prime is 264804450719. The next prime is 264804450769. The reversal of 264804450753 is 357054408462.

264804450753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 264804450753 - 212 = 264804446657 is a prime.

It is a super-3 number, since 3×2648044507533 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (264804450773) 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 15 ways as a sum of consecutive naturals, for example, 1006153 + ... + 1241753.

It is an arithmetic number, because the mean of its divisors is an integer number (22829833800).

Almost surely, 2264804450753 is an apocalyptic number.

It is an amenable number.

264804450753 is a deficient number, since it is larger than the sum of its proper divisors (100472890047).

264804450753 is a wasteful number, since it uses less digits than its factorization.

264804450753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248552.

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 264804450753 in words is "two hundred sixty-four billion, eight hundred four million, four hundred fifty thousand, seven hundred fifty-three".

Divisors: 1 3 29 87 12919 38757 235601 374651 706803 1123953 6832429 20497287 3043729319 9131187957 88268150251 264804450753