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264435300340164 = 223215746786146557
BaseRepresentation
bin111100001000000010100100…
…001001001001000111000100
31021200021202201202002201122200
4330020002210021021013010
5234130001443341341124
62334223522214554500
7106461551153311122
oct7410024411110704
91250252652081580
10264435300340164
1177291421256468
12257a93bb068a30
13b4721ac784675
144942a45bca912
152088880600bc9
hexf080a42491c4

264435300340164 has 36 divisors (see below), whose sum is σ = 672691215210924. Its totient is φ = 87583666352832.

The previous prime is 264435300340111. The next prime is 264435300340171. The reversal of 264435300340164 is 461043003534462.

It is a happy number.

264435300340164 is a `hidden beast` number, since 2 + 6 + 443 + 5 + 3 + 0 + 0 + 3 + 40 + 164 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119209711622400 + 145225588717764 = 10918320^2 + 12050958^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2644353003401642 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23393067627 + ... + 23393078930.

Almost surely, 2264435300340164 is an apocalyptic number.

It is an amenable number.

264435300340164 is an abundant number, since it is smaller than the sum of its proper divisors (408255914870760).

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

264435300340164 is a wasteful number, since it uses less digits than its factorization.

264435300340164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46786146724 (or 46786146719 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 264435300340164 in words is "two hundred sixty-four trillion, four hundred thirty-five billion, three hundred million, three hundred forty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2826 5652 46786146557 93572293114 140358439671 187144586228 280716879342 421075319013 561433758684 842150638026 1684301276052 7345425009449 14690850018898 22036275028347 29381700037796 44072550056694 66108825085041 88145100113388 132217650170082 264435300340164