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63807813 = 3253133769
BaseRepresentation
bin1111001101101…
…0000101000101
311110001202212100
43303122011011
5112313322223
610155342313
71403233416
oct363320505
9143052770
1063807813
1133021833
1219451999
13102b1204
14868d80d
155906043
hex3cda145

63807813 has 12 divisors (see below), whose sum is σ = 93906540. Its totient is φ = 41735616.

The previous prime is 63807791. The next prime is 63807853. The reversal of 63807813 is 31870836.

63807813 is a `hidden beast` number, since 638 + 0 + 7 + 8 + 13 = 666.

63807813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 47983329 + 15824484 = 6927^2 + 3978^2 .

It is not a de Polignac number, because 63807813 - 212 = 63803717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63807853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66408 + ... + 67361.

It is an arithmetic number, because the mean of its divisors is an integer number (7825545).

Almost surely, 263807813 is an apocalyptic number.

It is an amenable number.

63807813 is a deficient number, since it is larger than the sum of its proper divisors (30098727).

63807813 is a wasteful number, since it uses less digits than its factorization.

63807813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133828 (or 133825 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 63807813 is about 7987.9792813953. The cubic root of 63807813 is about 399.5992089672.

It can be divided in two parts, 63807 and 813, that added together give a triangular number (64620 = T359).

The spelling of 63807813 in words is "sixty-three million, eight hundred seven thousand, eight hundred thirteen".

Divisors: 1 3 9 53 159 477 133769 401307 1203921 7089757 21269271 63807813