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20624517593 is a prime number
BaseRepresentation
bin10011001101010100…
…010010100111011001
31222020100200001022222
4103031110102213121
5314214334030333
613250314553425
71330044335621
oct231524224731
958210601288
1020624517593
118824003369
123bb7138875
131c38ba8c84
14dd9211881
1580a9cd298
hex4cd5129d9

20624517593 has 2 divisors, whose sum is σ = 20624517594. Its totient is φ = 20624517592.

The previous prime is 20624517587. The next prime is 20624517631. The reversal of 20624517593 is 39571542602.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18010445209 + 2614072384 = 134203^2 + 51128^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20624517593 is a prime.

It is not a weakly prime, because it can be changed into another prime (20624517503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10312258796 + 10312258797.

It is an arithmetic number, because the mean of its divisors is an integer number (10312258797).

Almost surely, 220624517593 is an apocalyptic number.

It is an amenable number.

20624517593 is a deficient number, since it is larger than the sum of its proper divisors (1).

20624517593 is an equidigital number, since it uses as much as digits as its factorization.

20624517593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 20624517593 in words is "twenty billion, six hundred twenty-four million, five hundred seventeen thousand, five hundred ninety-three".