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63967993 is a prime number
BaseRepresentation
bin1111010000000…
…1001011111001
311110100220120221
43310001023321
5112333433433
610203020041
71404501415
oct364011371
9143326527
1063967993
1133121111
121950a621
13103390ab
1486d1d45
15593872d
hex3d012f9

63967993 has 2 divisors, whose sum is σ = 63967994. Its totient is φ = 63967992.

The previous prime is 63967963. The next prime is 63968027. The reversal of 63967993 is 39976936.

63967993 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., 38837824 + 25130169 = 6232^2 + 5013^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-63967993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 63967993.

It is not a weakly prime, because it can be changed into another prime (63967933) 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, 31983996 + 31983997.

It is an arithmetic number, because the mean of its divisors is an integer number (31983997).

Almost surely, 263967993 is an apocalyptic number.

It is an amenable number.

63967993 is a deficient number, since it is larger than the sum of its proper divisors (1).

63967993 is an equidigital number, since it uses as much as digits as its factorization.

63967993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1653372, while the sum is 52.

The square root of 63967993 is about 7997.9993123281. Note that the first 3 decimals coincide. The cubic root of 63967993 is about 399.9333076309.

The spelling of 63967993 in words is "sixty-three million, nine hundred sixty-seven thousand, nine hundred ninety-three".