Search a number
-
+
416085464325 = 35223323810327
BaseRepresentation
bin1100000111000001010…
…00000101010100000101
31110202222201012121210210
412003200220011110011
523304120334324300
6515051431310033
742026662043316
oct6034050052405
91422881177723
10416085464325
11150508440873
126878221b319
1330310018b7b
14161d262060d
15ac53b72050
hex60e0a05505

416085464325 has 24 divisors (see below), whose sum is σ = 690880477248. Its totient is φ = 220959825280.

The previous prime is 416085464323. The next prime is 416085464341. The reversal of 416085464325 is 523464580614.

It is not a de Polignac number, because 416085464325 - 21 = 416085464323 is a prime.

It is a super-2 number, since 2×4160854643252 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416085464323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11887689 + ... + 11922638.

It is an arithmetic number, because the mean of its divisors is an integer number (28786686552).

Almost surely, 2416085464325 is an apocalyptic number.

It is an amenable number.

416085464325 is a deficient number, since it is larger than the sum of its proper divisors (274795012923).

416085464325 is a wasteful number, since it uses less digits than its factorization.

416085464325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23810573 (or 23810568 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 416085464325 in words is "four hundred sixteen billion, eighty-five million, four hundred sixty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 15 25 75 233 699 1165 3495 5825 17475 23810327 71430981 119051635 357154905 595258175 1785774525 5547806191 16643418573 27739030955 83217092865 138695154775 416085464325