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63784013 is a prime number
BaseRepresentation
bin1111001101010…
…0010001001101
311110000120012212
43303110101031
5112312042023
610155040205
71403104136
oct363242115
9143016185
1063784013
1133005967
1219440065
13102a3427
148684c8d
1558ede78
hex3cd444d

63784013 has 2 divisors, whose sum is σ = 63784014. Its totient is φ = 63784012.

The previous prime is 63784009. The next prime is 63784027. The reversal of 63784013 is 31048736.

63784013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61418569 + 2365444 = 7837^2 + 1538^2 .

It is a cyclic number.

It is not a de Polignac number, because 63784013 - 22 = 63784009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (63784003) 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 as a sum of consecutive naturals, namely, 31892006 + 31892007.

It is an arithmetic number, because the mean of its divisors is an integer number (31892007).

Almost surely, 263784013 is an apocalyptic number.

It is an amenable number.

63784013 is a deficient number, since it is larger than the sum of its proper divisors (1).

63784013 is an equidigital number, since it uses as much as digits as its factorization.

63784013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 63784013 is about 7986.4894039872. The cubic root of 63784013 is about 399.5495199431.

The spelling of 63784013 in words is "sixty-three million, seven hundred eighty-four thousand, thirteen".