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264404226264021 = 3272056940770901
BaseRepresentation
bin111100000111100101100111…
…111110111100101111010101
31021200011210112010202002210200
4330013211213332330233111
5234123444323410422041
62334201342533411113
7106456401132110004
oct7407454776745725
91250153463662720
10264404226264021
117727a2257a40a8
12257a3388499a99
13b46c299a1746c
144941338c70c3b
152087b625621b6
hexf07967fbcbd5

264404226264021 has 12 divisors (see below), whose sum is σ = 381917755103820. Its totient is φ = 176269235227200.

The previous prime is 264404226263857. The next prime is 264404226264041. The reversal of 264404226264021 is 120462622404462.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 44972917254225 + 219431309009796 = 6706185^2 + 14813214^2 .

It is not a de Polignac number, because 264404226264021 - 210 = 264404226262997 is a prime.

It is a super-3 number, since 3×2644042262640213 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264404226264041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13900330 + ... + 26870571.

It is an arithmetic number, because the mean of its divisors is an integer number (31826479591985).

Almost surely, 2264404226264021 is an apocalyptic number.

It is an amenable number.

264404226264021 is a deficient number, since it is larger than the sum of its proper divisors (117513528839799).

264404226264021 is a wasteful number, since it uses less digits than its factorization.

264404226264021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41491476 (or 41491473 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

Adding to 264404226264021 its reverse (120462622404462), we get a palindrome (384866848668483).

The spelling of 264404226264021 in words is "two hundred sixty-four trillion, four hundred four billion, two hundred twenty-six million, two hundred sixty-four thousand, twenty-one".

Divisors: 1 3 9 720569 2161707 6485121 40770901 122312703 366938109 29378247362669 88134742088007 264404226264021