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10061616067 is a prime number
BaseRepresentation
bin10010101111011100…
…00001001111000011
3221222012201001110221
421113232001033003
5131101233203232
64342223203511
7504223216426
oct112756011703
927865631427
1010061616067
1142a357a088
121b49746597
13c446b1b99
146b64019bd
153dd4ce897
hex257b813c3

10061616067 has 2 divisors, whose sum is σ = 10061616068. Its totient is φ = 10061616066.

The previous prime is 10061616043. The next prime is 10061616077. The reversal of 10061616067 is 76061616001.

10061616067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10061616067 is a prime.

It is a super-2 number, since 2×100616160672 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10061616017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5030808033 + 5030808034.

It is an arithmetic number, because the mean of its divisors is an integer number (5030808034).

Almost surely, 210061616067 is an apocalyptic number.

10061616067 is a deficient number, since it is larger than the sum of its proper divisors (1).

10061616067 is an equidigital number, since it uses as much as digits as its factorization.

10061616067 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 10061616067 in words is "ten billion, sixty-one million, six hundred sixteen thousand, sixty-seven".