Search a number
36314872538033 is a prime number
BaseRepresentation
bin10000100000111001101110…
…00100111110001110110001
311202120200000220110112212102
420100130313010332032301
514224440324332204113
6205122453325310145
710435443252332165
oct1020346704761661
9152520026415772
1036314872538033
1110631061903751
1240a6095405355
1317356299094bb
148d7913602ca5
1542e976e58758
hex21073713e3b1

36314872538033 has 2 divisors, whose sum is σ = 36314872538034. Its totient is φ = 36314872538032.

The previous prime is 36314872537963. The next prime is 36314872538039. The reversal of 36314872538033 is 33083527841363.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36246998220304 + 67874317729 = 6020548^2 + 260527^2 .

It is an emirp because it is prime and its reverse (33083527841363) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36314872538033 - 212 = 36314872533937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36314872538033.

It is not a weakly prime, because it can be changed into another prime (36314872538039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18157436269016 + 18157436269017.

It is an arithmetic number, because the mean of its divisors is an integer number (18157436269017).

Almost surely, 236314872538033 is an apocalyptic number.

It is an amenable number.

36314872538033 is a deficient number, since it is larger than the sum of its proper divisors (1).

36314872538033 is an equidigital number, since it uses as much as digits as its factorization.

36314872538033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26127360, while the sum is 56.

The spelling of 36314872538033 in words is "thirty-six trillion, three hundred fourteen billion, eight hundred seventy-two million, five hundred thirty-eight thousand, thirty-three".