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61406310029 is a prime number
BaseRepresentation
bin111001001100000110…
…011110111010001101
312212111111210202102212
4321030012132322031
52001230003410104
644113142200205
74302464010641
oct711406367215
9185444722385
1061406310029
1124051296659
12ba98a23065
135a37c07abc
142d87568c21
1518e5e4236e
hexe4c19ee8d

61406310029 has 2 divisors, whose sum is σ = 61406310030. Its totient is φ = 61406310028.

The previous prime is 61406310023. The next prime is 61406310067. The reversal of 61406310029 is 92001360416.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47830564804 + 13575745225 = 218702^2 + 116515^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61406310029 is a prime.

It is a super-2 number, since 2×614063100292 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61406309977 and 61406310004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61406310023) 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, 30703155014 + 30703155015.

It is an arithmetic number, because the mean of its divisors is an integer number (30703155015).

Almost surely, 261406310029 is an apocalyptic number.

It is an amenable number.

61406310029 is a deficient number, since it is larger than the sum of its proper divisors (1).

61406310029 is an equidigital number, since it uses as much as digits as its factorization.

61406310029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 61406310029 in words is "sixty-one billion, four hundred six million, three hundred ten thousand, twenty-nine".