Search a number
-
+
504342543345201 = 321113177893499253
BaseRepresentation
bin111001010101100100110011…
…0001001000010011000110001
32110010201200021000000020022200
41302223021212021002120301
51012101122012044021301
64544351433232253413
7211142355245362641
oct16253114611023061
92403650230006280
10504342543345201
11136776520598660
1248694b693a1269
13188553b4268062
148c78448ba0521
153d49190e8cc86
hex1cab266242631

504342543345201 has 48 divisors (see below), whose sum is σ = 800800045036992. Its totient is φ = 303324346915200.

The previous prime is 504342543345187. The next prime is 504342543345211. The reversal of 504342543345201 is 102543345243405.

504342543345201 is a `hidden beast` number, since 5 + 0 + 4 + 3 + 4 + 2 + 5 + 433 + 4 + 5 + 201 = 666.

It is not a de Polignac number, because 504342543345201 - 247 = 363605054989873 is a prime.

It is a super-2 number, since 2×5043425433452012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (504342543345211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1009944691 + ... + 1010443943.

It is an arithmetic number, because the mean of its divisors is an integer number (16683334271604).

Almost surely, 2504342543345201 is an apocalyptic number.

It is an amenable number.

504342543345201 is a deficient number, since it is larger than the sum of its proper divisors (296457501691791).

504342543345201 is a wasteful number, since it uses less digits than its factorization.

504342543345201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577294 (or 577291 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 504342543345201 its reverse (102543345243405), we get a palindrome (606885888588606).

The spelling of 504342543345201 in words is "five hundred four trillion, three hundred forty-two billion, five hundred forty-three million, three hundred forty-five thousand, two hundred one".

Divisors: 1 3 9 11 33 99 131 393 1179 1441 4323 12969 77893 233679 499253 701037 856823 1497759 2570469 4493277 5491783 7711407 10203983 16475349 30611949 49426047 65402143 91835847 112243813 196206429 336731439 588619287 719423573 1010194317 2158270719 6474812157 38888313929 116664941787 349994825361 427771453219 1283314359657 3849943078971 5094369124699 15283107374097 45849322122291 56038060371689 168114181115067 504342543345201