Search a number
-
+
564216152406045 = 35896832200328123
BaseRepresentation
bin1000000001001001101100111…
…1010101110011100000011101
32201222201112111202112210102020
42000102123033111303200131
51042423104140003443140
65315553153330250353
7226562162142304326
oct20022331725634035
92658645452483366
10564216152406045
1115385a7a9a48447
1253344a53a269b9
131b2a947c875089
149d482c949944d
15453685497d6d0
hex20126cf57381d

564216152406045 has 64 divisors (see below), whose sum is σ = 914299702410240. Its totient is φ = 297074515871232.

The previous prime is 564216152406037. The next prime is 564216152406047. The reversal of 564216152406045 is 540604251612465.

It is not a de Polignac number, because 564216152406045 - 23 = 564216152406037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564216152406047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20062431354 + ... + 20062459476.

It is an arithmetic number, because the mean of its divisors is an integer number (14285932850160).

Almost surely, 2564216152406045 is an apocalyptic number.

It is an amenable number.

564216152406045 is a deficient number, since it is larger than the sum of its proper divisors (350083550004195).

564216152406045 is a wasteful number, since it uses less digits than its factorization.

564216152406045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50906.

The product of its (nonzero) digits is 6912000, while the sum is 51.

The spelling of 564216152406045 in words is "five hundred sixty-four trillion, two hundred sixteen billion, one hundred fifty-two million, four hundred six thousand, forty-five".

Divisors: 1 3 5 15 89 267 445 683 1335 2049 3415 10245 22003 28123 60787 66009 84369 110015 140615 182361 303935 330045 421845 911805 1958267 2502947 5874801 7508841 9791335 12514735 15028049 19208009 29374005 37544205 45084147 57624027 75140245 96040045 225420735 288120135 618790369 1337496361 1709512801 1856371107 3093951845 4012489083 5128538403 6687481805 8547564005 9281855535 20062445415 25642692015 55072342841 165217028523 275361714205 422633822027 826085142615 1267901466081 2113169110135 6339507330405 37614410160403 112843230481209 188072050802015 564216152406045