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64007553024029 is a prime number
BaseRepresentation
bin11101000110110111010110…
…11101100000000000011101
322101122001200102102121001002
432203123223131200000131
531342144432033232104
6344044355224000045
716324251555536006
oct1643335335400035
9271561612377032
1064007553024029
11194384a601049a
127219114000025
132993b6a40b8c4
1411b3da6c2c1ad
1575eeb3bb601e
hex3a36eb76001d

64007553024029 has 2 divisors, whose sum is σ = 64007553024030. Its totient is φ = 64007553024028.

The previous prime is 64007553023917. The next prime is 64007553024043. The reversal of 64007553024029 is 92042035570046.

64007553024029 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., 62911706256100 + 1095846767929 = 7931690^2 + 1046827^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-64007553024029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (64007553024329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32003776512014 + 32003776512015.

It is an arithmetic number, because the mean of its divisors is an integer number (32003776512015).

Almost surely, 264007553024029 is an apocalyptic number.

It is an amenable number.

64007553024029 is a deficient number, since it is larger than the sum of its proper divisors (1).

64007553024029 is an equidigital number, since it uses as much as digits as its factorization.

64007553024029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1814400, while the sum is 47.

The spelling of 64007553024029 in words is "sixty-four trillion, seven billion, five hundred fifty-three million, twenty-four thousand, twenty-nine".