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456214390529 is a prime number
BaseRepresentation
bin1101010001110000111…
…11110010011100000001
31121121120100212021210212
412220320133302130001
524433311340444104
6545325413403505
744650263223262
oct6507037623401
91547510767725
10456214390529
11166530147a97
1274501339595
13340369cc211
141811bd8c969
15bd01b2436e
hex6a387f2701

456214390529 has 2 divisors, whose sum is σ = 456214390530. Its totient is φ = 456214390528.

The previous prime is 456214390501. The next prime is 456214390543. The reversal of 456214390529 is 925093412654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 425606188225 + 30608202304 = 652385^2 + 174952^2 .

It is a cyclic number.

It is not a de Polignac number, because 456214390529 - 28 = 456214390273 is a prime.

It is not a weakly prime, because it can be changed into another prime (456214390549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228107195264 + 228107195265.

It is an arithmetic number, because the mean of its divisors is an integer number (228107195265).

Almost surely, 2456214390529 is an apocalyptic number.

It is an amenable number.

456214390529 is a deficient number, since it is larger than the sum of its proper divisors (1).

456214390529 is an equidigital number, since it uses as much as digits as its factorization.

456214390529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2332800, while the sum is 50.

The spelling of 456214390529 in words is "four hundred fifty-six billion, two hundred fourteen million, three hundred ninety thousand, five hundred twenty-nine".