Search a number
-
+
6842471982120 = 2332542174507201
BaseRepresentation
bin110001110010010001100…
…0111001010010000101000
3220020010121122012112100200
41203210203013022100220
51344101340311411440
622315215505232200
71304231556131025
oct143444307122050
926203548175320
106842471982120
1121a8970061a15
1292614a032660
133a831c55b428
1419926ab5c54c
15bcec5ca5c30
hex639231ca428

6842471982120 has 96 divisors (see below), whose sum is σ = 22243312302120. Its totient is φ = 1824226099200.

The previous prime is 6842471982097. The next prime is 6842471982127. The reversal of 6842471982120 is 212891742486.

6842471982120 is a `hidden beast` number, since 6 + 8 + 42 + 471 + 9 + 8 + 2 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6839407031076 + 3064951044 = 2615226^2 + 55362^2 .

It is not an unprimeable number, because it can be changed into a prime (6842471982127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 735481 + ... + 3771720.

Almost surely, 26842471982120 is an apocalyptic number.

6842471982120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6842471982120 is an abundant number, since it is smaller than the sum of its proper divisors (15400840320000).

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

6842471982120 is a wasteful number, since it uses less digits than its factorization.

6842471982120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511435 (or 4511428 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 6842471982120 in words is "six trillion, eight hundred forty-two billion, four hundred seventy-one million, nine hundred eighty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4217 8434 12651 16868 21085 25302 33736 37953 42170 50604 63255 75906 84340 101208 126510 151812 168680 189765 253020 303624 379530 506040 759060 1518120 4507201 9014402 13521603 18028804 22536005 27043206 36057608 40564809 45072010 54086412 67608015 81129618 90144020 108172824 135216030 162259236 180288040 202824045 270432060 324518472 405648090 540864120 811296180 1622592360 19006866617 38013733234 57020599851 76027466468 95034333085 114041199702 152054932936 171061799553 190068666170 228082399404 285102999255 342123599106 380137332340 456164798808 570205998510 684247198212 760274664680 855308997765 1140411997020 1368494396424 1710617995530 2280823994040 3421235991060 6842471982120