Search a number
-
+
2593065676441 is a prime number
BaseRepresentation
bin100101101110111110110…
…000100010111010011001
3100011220011012112202210211
4211232332300202322121
5314441044303121231
65303123220411121
7355225404402232
oct45567660427231
910156135482724
102593065676441
1190a792a78469
1235a678546aa1
1315a6a96a2536
148d70dbd2089
15476b91a5eb1
hex25bbec22e99

2593065676441 has 2 divisors, whose sum is σ = 2593065676442. Its totient is φ = 2593065676440.

The previous prime is 2593065676391. The next prime is 2593065676517. The reversal of 2593065676441 is 1446765603952.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2265338050816 + 327727625625 = 1505104^2 + 572475^2 .

It is a cyclic number.

It is not a de Polignac number, because 2593065676441 - 233 = 2584475741849 is a prime.

It is not a weakly prime, because it can be changed into another prime (2593065676841) 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, 1296532838220 + 1296532838221.

It is an arithmetic number, because the mean of its divisors is an integer number (1296532838221).

Almost surely, 22593065676441 is an apocalyptic number.

It is an amenable number.

2593065676441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2593065676441 is an equidigital number, since it uses as much as digits as its factorization.

2593065676441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32659200, while the sum is 58.

The spelling of 2593065676441 in words is "two trillion, five hundred ninety-three billion, sixty-five million, six hundred seventy-six thousand, four hundred forty-one".