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3205605642052 = 2211229947324109
BaseRepresentation
bin101110101001011100111…
…111000100111101000100
3102100110020011120002012211
4232221130333010331010
5410010040021021202
610452345045553204
7450411616243612
oct56513477047504
912313204502184
103205605642052
1110265428a6800
12439326a15804
131a3397300628
14b121b6906b2
15585b9da41d7
hex2ea5cfc4f44

3205605642052 has 72 divisors (see below), whose sum is σ = 6379718650200. Its totient is φ = 1406642012160.

The previous prime is 3205605642047. The next prime is 3205605642059. The reversal of 3205605642052 is 2502465065023.

It can be written as a sum of positive squares in 4 ways, for example, as 1585952347716 + 1619653294336 = 1259346^2 + 1272656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3205605641996 and 3205605642014.

It is not an unprimeable number, because it can be changed into a prime (3205605642059) by changing a digit.

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, 132950974 + ... + 132975082.

It is an arithmetic number, because the mean of its divisors is an integer number (88607203475).

Almost surely, 23205605642052 is an apocalyptic number.

It is an amenable number.

3205605642052 is a deficient number, since it is larger than the sum of its proper divisors (3174113008148).

3205605642052 is a wasteful number, since it uses less digits than its factorization.

3205605642052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33637 (or 33624 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 3205605642052 in words is "three trillion, two hundred five billion, six hundred five million, six hundred forty-two thousand, fifty-two".

Divisors: 1 2 4 11 22 29 44 58 116 121 242 319 484 638 1276 3509 7018 9473 14036 18946 24109 37892 48218 96436 104203 208406 265199 274717 416812 530398 549434 699161 1060796 1098868 1146233 1398322 2292466 2796644 2917189 3021887 4584932 5834378 6043774 7690771 11668756 12087548 15381542 30763084 33240757 66481514 84598481 132963028 169196962 228384557 338393924 456769114 913538228 2512230127 5024460254 6623152153 10048920508 13246304306 26492608612 27634531397 55269062794 72854673683 110538125588 145709347366 291418694732 801401410513 1602802821026 3205605642052