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468663041 = 71111175449
BaseRepresentation
bin11011111011110…
…011101100000001
31012122212112211102
4123323303230001
51424434204131
6114301024145
714420366360
oct3373635401
91178775742
10468663041
11220603530
12110b55055
1376132712
14463597d7
152b2281cb
hex1bef3b01

468663041 has 16 divisors (see below), whose sum is σ = 584937600. Its totient is φ = 364798080.

The previous prime is 468663031. The next prime is 468663073. The reversal of 468663041 is 140366864.

It is a cyclic number.

It is not a de Polignac number, because 468663041 - 214 = 468646657 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 468662986 and 468663004.

It is not an unprimeable number, because it can be changed into a prime (468663001) 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 15 ways as a sum of consecutive naturals, for example, 83285 + ... + 88733.

It is an arithmetic number, because the mean of its divisors is an integer number (36558600).

Almost surely, 2468663041 is an apocalyptic number.

It is an amenable number.

468663041 is a deficient number, since it is larger than the sum of its proper divisors (116274559).

468663041 is a wasteful number, since it uses less digits than its factorization.

468663041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6584.

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 468663041 is about 21648.6267693819. The cubic root of 468663041 is about 776.7600876366.

The spelling of 468663041 in words is "four hundred sixty-eight million, six hundred sixty-three thousand, forty-one".

Divisors: 1 7 11 77 1117 5449 7819 12287 38143 59939 86009 419573 6086533 42605731 66951863 468663041