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64367141 is a prime number
BaseRepresentation
bin1111010110001…
…0101000100101
311111010012010012
43311202220211
5112434222031
610215340005
71411053206
oct365425045
9144105105
1064367141
1133373a93
1219681605
1310448987
1487975ad
1559b6b2b
hex3d62a25

64367141 has 2 divisors, whose sum is σ = 64367142. Its totient is φ = 64367140.

The previous prime is 64367123. The next prime is 64367143. The reversal of 64367141 is 14176346.

64367141 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., 48246916 + 16120225 = 6946^2 + 4015^2 .

It is a cyclic number.

It is not a de Polignac number, because 64367141 - 210 = 64366117 is a prime.

Together with 64367143, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 64367098 and 64367107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (64367143) 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, 32183570 + 32183571.

It is an arithmetic number, because the mean of its divisors is an integer number (32183571).

Almost surely, 264367141 is an apocalyptic number.

It is an amenable number.

64367141 is a deficient number, since it is larger than the sum of its proper divisors (1).

64367141 is an equidigital number, since it uses as much as digits as its factorization.

64367141 is an odious number, because the sum of its binary digits is odd.

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

The square root of 64367141 is about 8022.9134982249. The cubic root of 64367141 is about 400.7634191345.

The spelling of 64367141 in words is "sixty-four million, three hundred sixty-seven thousand, one hundred forty-one".