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34593490728 = 2332480465149
BaseRepresentation
bin100000001101111011…
…101100011100101000
310022021212202102001100
4200031323230130220
51031321413200403
623520402321400
72333154551046
oct401573543450
9108255672040
1034593490728
111374213a665
126855359260
133353c43654
14196252d396
15d770332a3
hex80deec728

34593490728 has 24 divisors (see below), whose sum is σ = 93690704250. Its totient is φ = 11531163552.

The previous prime is 34593490697. The next prime is 34593490747. The reversal of 34593490728 is 82709439543.

34593490728 is a `hidden beast` number, since 3 + 4 + 593 + 49 + 0 + 7 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23458598244 + 11134892484 = 153162^2 + 105522^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 240232503 + ... + 240232646.

Almost surely, 234593490728 is an apocalyptic number.

It is an amenable number.

34593490728 is an abundant number, since it is smaller than the sum of its proper divisors (59097213522).

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

34593490728 is a wasteful number, since it uses less digits than its factorization.

34593490728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480465161 (or 480465154 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 34593490728 in words is "thirty-four billion, five hundred ninety-three million, four hundred ninety thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 480465149 960930298 1441395447 1921860596 2882790894 3843721192 4324186341 5765581788 8648372682 11531163576 17296745364 34593490728