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64107037 is a prime number
BaseRepresentation
bin1111010010001…
…1001000011101
311110121222022201
43310203020131
5112402411122
610210011501
71405620661
oct364431035
9143558281
1064107037
1133206625
1219576b91
1310387477
14872a8a1
155964a27
hex3d2321d

64107037 has 2 divisors, whose sum is σ = 64107038. Its totient is φ = 64107036.

The previous prime is 64107019. The next prime is 64107041. The reversal of 64107037 is 73070146.

64107037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39614436 + 24492601 = 6294^2 + 4949^2 .

It is a cyclic number.

It is not a de Polignac number, because 64107037 - 219 = 63582749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 64106996 and 64107014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (64107437) 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, 32053518 + 32053519.

It is an arithmetic number, because the mean of its divisors is an integer number (32053519).

Almost surely, 264107037 is an apocalyptic number.

It is an amenable number.

64107037 is a deficient number, since it is larger than the sum of its proper divisors (1).

64107037 is an equidigital number, since it uses as much as digits as its factorization.

64107037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 64107037 is about 8006.6870177371. The cubic root of 64107037 is about 400.2228695498. Note that the first 3 decimals are identical.

The spelling of 64107037 in words is "sixty-four million, one hundred seven thousand, thirty-seven".