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482123196934416 = 2432230913313108917
BaseRepresentation
bin110110110011111010000110…
…1111001000010100100010000
32100020001112020112201200210200
41231213310031321002210100
51001143101301403400131
64425220201122255200
7203360152160164662
oct15547641571024420
92306045215650720
10482123196934416
1112a68a33281a8a4
12460a68571b7500
131790303a265a5b
14870ac5c822532
153ab11e64e02e6
hex1b67d0de42910

482123196934416 has 120 divisors (see below), whose sum is σ = 1349973479214360. Its totient is φ = 160624590716928.

The previous prime is 482123196934397. The next prime is 482123196934453. The reversal of 482123196934416 is 614439691321284.

482123196934416 is a `hidden beast` number, since 4 + 8 + 2 + 1 + 23 + 196 + 9 + 3 + 4 + 416 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 255214044176400 + 226909152758016 = 15975420^2 + 15063504^2 .

It is a super-3 number, since 3×4821231969344163 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 4426464790 + ... + 4426573706.

It is an arithmetic number, because the mean of its divisors is an integer number (11249778993453).

Almost surely, 2482123196934416 is an apocalyptic number.

It is an amenable number.

482123196934416 is an abundant number, since it is smaller than the sum of its proper divisors (867850282279944).

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

482123196934416 is a wasteful number, since it uses less digits than its factorization.

482123196934416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124553 (or 124544 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 482123196934416 in words is "four hundred eighty-two trillion, one hundred twenty-three billion, one hundred ninety-six million, nine hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2309 4618 6927 9236 13313 13854 18472 20781 26626 27708 36944 39939 41562 53252 55416 79878 83124 106504 108917 110832 119817 159756 166248 213008 217834 239634 319512 326751 332496 435668 479268 639024 653502 871336 958536 980253 1307004 1742672 1917072 1960506 2614008 3921012 5228016 7842024 15684048 30739717 61479434 92219151 122958868 184438302 245917736 251489353 276657453 368876604 491835472 502978706 553314906 737753208 754468059 1005957412 1106629812 1450012021 1475506416 1508936118 2011914824 2213259624 2263404177 2900024042 3017872236 4023829648 4350036063 4426519248 4526808354 5800048084 6035744472 8700072126 9053616708 11600096168 12071488944 13050108189 17400144252 18107233416 23200192336 26100216378 34800288504 36214466832 52200432756 69600577008 104400865512 208801731024 3348077756489 6696155512978 10044233269467 13392311025956 20088466538934 26784622051912 30132699808401 40176933077868 53569244103824 60265399616802 80353866155736 120530799233604 160707732311472 241061598467208 482123196934416