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20564142593 is a prime number
BaseRepresentation
bin10011001001101101…
…111110101000000001
31222002011001200101212
4103021231332220001
5314103410030333
613240320535505
71325412220331
oct231155765001
958064050355
1020564142593
1187a2a16775
123b9aa81595
131c2952a417
14dd11b70c1
15805554448
hex4c9b7ea01

20564142593 has 2 divisors, whose sum is σ = 20564142594. Its totient is φ = 20564142592.

The previous prime is 20564142587. The next prime is 20564142649. The reversal of 20564142593 is 39524146502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18804088384 + 1760054209 = 137128^2 + 41953^2 .

It is a cyclic number.

It is not a de Polignac number, because 20564142593 - 222 = 20559948289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20564142593.

It is not a weakly prime, because it can be changed into another prime (20564142503) 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, 10282071296 + 10282071297.

It is an arithmetic number, because the mean of its divisors is an integer number (10282071297).

Almost surely, 220564142593 is an apocalyptic number.

It is an amenable number.

20564142593 is a deficient number, since it is larger than the sum of its proper divisors (1).

20564142593 is an equidigital number, since it uses as much as digits as its factorization.

20564142593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 20564142593 in words is "twenty billion, five hundred sixty-four million, one hundred forty-two thousand, five hundred ninety-three".