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77861540093 is a prime number
BaseRepresentation
bin100100010000011101…
…0001101000011111101
321102222022020001111012
41020200322031003331
52233430023240333
655434043005005
75424324112421
oct1104072150375
9242868201435
1077861540093
113002589a547
121310b809765
13745b09c41c
143aa8b5ab81
15205a8aae48
hex1220e8d0fd

77861540093 has 2 divisors, whose sum is σ = 77861540094. Its totient is φ = 77861540092.

The previous prime is 77861540063. The next prime is 77861540123. The reversal of 77861540093 is 39004516877.

It is a balanced prime because it is at equal distance from previous prime (77861540063) and next prime (77861540123).

It can be written as a sum of positive squares in only one way, i.e., 54514311289 + 23347228804 = 233483^2 + 152798^2 .

It is a cyclic number.

It is not a de Polignac number, because 77861540093 - 28 = 77861539837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77861540023) 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, 38930770046 + 38930770047.

It is an arithmetic number, because the mean of its divisors is an integer number (38930770047).

Almost surely, 277861540093 is an apocalyptic number.

It is an amenable number.

77861540093 is a deficient number, since it is larger than the sum of its proper divisors (1).

77861540093 is an equidigital number, since it uses as much as digits as its factorization.

77861540093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1270080, while the sum is 50.

The spelling of 77861540093 in words is "seventy-seven billion, eight hundred sixty-one million, five hundred forty thousand, ninety-three".