Search a number
-
+
34093473366713 is a prime number
BaseRepresentation
bin1111100000010000000010…
…10111101000001010111001
311110201022012210000110221012
413300020001113220022321
513432041413140213323
6200302154143523305
710116113024041415
oct760100127501271
9143638183013835
1034093473366713
11a954a6299a612
1239a76632b9535
13160400182cb17
1485c1c0a11d45
153e1cb200b678
hex1f02015e82b9

34093473366713 has 2 divisors, whose sum is σ = 34093473366714. Its totient is φ = 34093473366712.

The previous prime is 34093473366677. The next prime is 34093473366751. The reversal of 34093473366713 is 31766337439043.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33444615729424 + 648857637289 = 5783132^2 + 805517^2 .

It is a cyclic number.

It is not a de Polignac number, because 34093473366713 - 212 = 34093473362617 is a prime.

It is not a weakly prime, because it can be changed into another prime (34093473366013) 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, 17046736683356 + 17046736683357.

It is an arithmetic number, because the mean of its divisors is an integer number (17046736683357).

Almost surely, 234093473366713 is an apocalyptic number.

It is an amenable number.

34093473366713 is a deficient number, since it is larger than the sum of its proper divisors (1).

34093473366713 is an equidigital number, since it uses as much as digits as its factorization.

34093473366713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61725888, while the sum is 59.

The spelling of 34093473366713 in words is "thirty-four trillion, ninety-three billion, four hundred seventy-three million, three hundred sixty-six thousand, seven hundred thirteen".