Search a number
-
+
422332512353505 = 325134491607875097
BaseRepresentation
bin110000000000110111111001…
…1011000000011110011100001
32001101100121000221020011222200
41200001233303120003303201
5420323443441130303010
64054120513331523413
7154646342235563415
oct14001576330036341
92041317027204880
10422332512353505
11112628238046156
123b44aa53a59569
1315186a28922b40
14764100744ad45
1533c5c87ae5cc0
hex1801bf3603ce1

422332512353505 has 48 divisors (see below), whose sum is σ = 790109823157200. Its totient is φ = 207454476386304.

The previous prime is 422332512353503. The next prime is 422332512353621. The reversal of 422332512353505 is 505353215233224.

422332512353505 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 32 + 512 + 3 + 53 + 50 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 426821795856 + 421905690557649 = 653316^2 + 20540343^2 .

It is not a de Polignac number, because 422332512353505 - 21 = 422332512353503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (422332512353501) 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, 803674884 + ... + 804200213.

It is an arithmetic number, because the mean of its divisors is an integer number (16460621315775).

Almost surely, 2422332512353505 is an apocalyptic number.

422332512353505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

422332512353505 is a deficient number, since it is larger than the sum of its proper divisors (367777310803695).

422332512353505 is a wasteful number, since it uses less digits than its factorization.

422332512353505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607875570 (or 1607875567 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 45.

Adding to 422332512353505 its reverse (505353215233224), we get a palindrome (927685727586729).

The spelling of 422332512353505 in words is "four hundred twenty-two trillion, three hundred thirty-two billion, five hundred twelve million, three hundred fifty-three thousand, five hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 449 585 1347 2245 4041 5837 6735 17511 20205 29185 52533 87555 262665 1607875097 4823625291 8039375485 14470875873 20902376261 24118126455 62707128783 72354379365 104511881305 188121386349 313535643915 721935918553 940606931745 2165807755659 3609679592765 6497423266977 9385166941189 10829038778295 28155500823567 32487116334885 46925834705945 84466502470701 140777504117835 422332512353505