Search a number
-
+
34906828834091 is a prime number
BaseRepresentation
bin1111110111111011000010…
…01000100000010100101011
311120121001121220211020221202
413323331201020200110223
514033403141140142331
6202123550434154415
710231635521326214
oct773754110402453
9146531556736852
1034906828834091
11101389a2948655
123ab9216422a0b
1316629136c9ac6
148896dc9d440b
15408017a68ecb
hex1fbf6122052b

34906828834091 has 2 divisors, whose sum is σ = 34906828834092. Its totient is φ = 34906828834090.

The previous prime is 34906828834067. The next prime is 34906828834103. The reversal of 34906828834091 is 19043882860943.

It is a strong prime.

It is an emirp because it is prime and its reverse (19043882860943) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34906828834091 is a prime.

It is not a weakly prime, because it can be changed into another prime (34906828830091) 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, 17453414417045 + 17453414417046.

It is an arithmetic number, because the mean of its divisors is an integer number (17453414417046).

Almost surely, 234906828834091 is an apocalyptic number.

34906828834091 is a deficient number, since it is larger than the sum of its proper divisors (1).

34906828834091 is an equidigital number, since it uses as much as digits as its factorization.

34906828834091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 71663616, while the sum is 65.

The spelling of 34906828834091 in words is "thirty-four trillion, nine hundred six billion, eight hundred twenty-eight million, eight hundred thirty-four thousand, ninety-one".