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68500417574137 is a prime number
BaseRepresentation
bin11111001001100111111110…
…00011100111010011111001
322222112120112212201121002211
433210303333003213103321
532434302323344333022
6401404353555455121
720266664130232543
oct1744637703472371
9288476485647084
1068500417574137
111a90a955a1142a
127823a0b2b74a1
132c2b73bc75bb3
1412cb61b856693
157dbcbe131e77
hex3e4cff0e74f9

68500417574137 has 2 divisors, whose sum is σ = 68500417574138. Its totient is φ = 68500417574136.

The previous prime is 68500417574123. The next prime is 68500417574207. The reversal of 68500417574137 is 73147571400586.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59765206793616 + 8735210780521 = 7730796^2 + 2955539^2 .

It is a cyclic number.

It is not a de Polignac number, because 68500417574137 - 211 = 68500417572089 is a prime.

It is a super-3 number, since 3×685004175741373 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (68500417544137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 34250208787068 + 34250208787069.

It is an arithmetic number, because the mean of its divisors is an integer number (34250208787069).

Almost surely, 268500417574137 is an apocalyptic number.

It is an amenable number.

68500417574137 is a deficient number, since it is larger than the sum of its proper divisors (1).

68500417574137 is an equidigital number, since it uses as much as digits as its factorization.

68500417574137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19756800, while the sum is 58.

The spelling of 68500417574137 in words is "sixty-eight trillion, five hundred billion, four hundred seventeen million, five hundred seventy-four thousand, one hundred thirty-seven".