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807536673 = 32531692949
BaseRepresentation
bin110000001000100…
…000100000100001
32002021112010001200
4300020200200201
53123212133143
6212044151413
726003643216
oct6010404041
92067463050
10807536673
11384919289
121a6538569
13cb3c1468
147936bb0d
154ad651d3
hex30220821

807536673 has 12 divisors (see below), whose sum is σ = 1188450900. Its totient is φ = 528199776.

The previous prime is 807536671. The next prime is 807536707. The reversal of 807536673 is 376635708.

It can be written as a sum of positive squares in 2 ways, for example, as 413593569 + 393943104 = 20337^2 + 19848^2 .

It is not a de Polignac number, because 807536673 - 21 = 807536671 is a prime.

It is not an unprimeable number, because it can be changed into a prime (807536671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 845998 + ... + 846951.

It is an arithmetic number, because the mean of its divisors is an integer number (99037575).

Almost surely, 2807536673 is an apocalyptic number.

It is an amenable number.

807536673 is a deficient number, since it is larger than the sum of its proper divisors (380914227).

807536673 is a wasteful number, since it uses less digits than its factorization.

807536673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693008 (or 1693005 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 807536673 is about 28417.1897449414. The cubic root of 807536673 is about 931.2238379630.

The spelling of 807536673 in words is "eight hundred seven million, five hundred thirty-six thousand, six hundred seventy-three".

Divisors: 1 3 9 53 159 477 1692949 5078847 15236541 89726297 269178891 807536673