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146285004352 = 2617134453129
BaseRepresentation
bin1000100000111101000…
…1000000011001000000
3111222120212001011220011
42020033101000121000
54344042430114402
6151111415154304
713366036010104
oct2101721003100
9458525034804
10146285004352
1157048086a13
1224426675994
1310a43a08196
14711a229904
153c128a4ed7
hex220f440640

146285004352 has 28 divisors (see below), whose sum is σ = 307359855180. Its totient is φ = 68840001536.

The previous prime is 146285004343. The next prime is 146285004353. The reversal of 146285004352 is 253400582641.

It can be written as a sum of positive squares in 2 ways, for example, as 98963093056 + 47321911296 = 314584^2 + 217536^2 .

It is not an unprimeable number, because it can be changed into a prime (146285004353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67225477 + ... + 67227652.

It is an arithmetic number, because the mean of its divisors is an integer number (10977137685).

Almost surely, 2146285004352 is an apocalyptic number.

It is an amenable number.

146285004352 is an abundant number, since it is smaller than the sum of its proper divisors (161074850828).

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

146285004352 is a wasteful number, since it uses less digits than its factorization.

146285004352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134453158 (or 134453148 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

Adding to 146285004352 its reverse (253400582641), we get a palindrome (399685586993).

The spelling of 146285004352 in words is "one hundred forty-six billion, two hundred eighty-five million, four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 134453129 268906258 537812516 1075625032 2151250064 2285703193 4302500128 4571406386 8605000256 9142812772 18285625544 36571251088 73142502176 146285004352