Search a number
-
+
20405160046200 = 2335234008600077
BaseRepresentation
bin1001010001110111100100…
…10100001110111001111000
32200020201021200120101022210
410220323302110032321320
510133304231432434300
6111222000124015120
74204136613421236
oct450736224167170
980221250511283
1020405160046200
116557863980526
1223567a69914a0
13b50276989447
14507887863956
15255bb979c050
hex128ef250ee78

20405160046200 has 48 divisors (see below), whose sum is σ = 63255996145080. Its totient is φ = 5441376012160.

The previous prime is 20405160046171. The next prime is 20405160046213. The reversal of 20405160046200 is 264006150402.

It is a super-3 number, since 3×204051600462003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17004299439 + ... + 17004300638.

Almost surely, 220405160046200 is an apocalyptic number.

20405160046200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20405160046200 is an abundant number, since it is smaller than the sum of its proper divisors (42850836098880).

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

20405160046200 is a wasteful number, since it uses less digits than its factorization.

20405160046200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34008600096 (or 34008600087 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 20405160046200 its reverse (264006150402), we get a palindrome (20669166196602).

The spelling of 20405160046200 in words is "twenty trillion, four hundred five billion, one hundred sixty million, forty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 34008600077 68017200154 102025800231 136034400308 170043000385 204051600462 272068800616 340086000770 408103200924 510129001155 680172001540 816206401848 850215001925 1020258002310 1360344003080 1700430003850 2040516004620 2550645005775 3400860007700 4081032009240 5101290011550 6801720015400 10202580023100 20405160046200