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803814362753 = 173127912
BaseRepresentation
bin10111011001001110001…
…00011100111010000001
32211211210012112110000012
423230213010130322001
5101132202434102003
61413133415234305
7112034161231103
oct13544704347201
92754705473005
10803814362753
1128a994285a06
1210b94b978995
135aa512a235c
142ac94b95573
1515d980e88d8
hexbb2711ce81

803814362753 has 12 divisors (see below), whose sum is σ = 854109309060. Its totient is φ = 756472019360.

The previous prime is 803814362713. The next prime is 803814362807. The reversal of 803814362753 is 357263418308.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 442400577424 + 361413785329 = 665132^2 + 601177^2 .

It is not a de Polignac number, because 803814362753 - 214 = 803814346369 is a prime.

It is a super-2 number, since 2×8038143627532 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (803814362713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62835788 + ... + 62848578.

It is an arithmetic number, because the mean of its divisors is an integer number (71175775755).

Almost surely, 2803814362753 is an apocalyptic number.

It is an amenable number.

803814362753 is a deficient number, since it is larger than the sum of its proper divisors (50294946307).

803814362753 is an frugal number, since it uses more digits than its factorization.

803814362753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25633 (or 12808 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 50.

The spelling of 803814362753 in words is "eight hundred three billion, eight hundred fourteen million, three hundred sixty-two thousand, seven hundred fifty-three".

Divisors: 1 17 289 4913 12791 217447 3696599 62842183 163609681 2781364577 47283197809 803814362753