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107862736349 is a prime number
BaseRepresentation
bin110010001110100011…
…1101011110111011101
3101022102010202201211002
41210131013223313131
53231400330030344
6121315040440045
710535640063044
oct1443507536735
9338363681732
10107862736349
1141820780315
1218aa3019025
13a22c792b64
1453133d755b
152c1466e44e
hex191d1ebddd

107862736349 has 2 divisors, whose sum is σ = 107862736350. Its totient is φ = 107862736348.

The previous prime is 107862736309. The next prime is 107862736391. The reversal of 107862736349 is 943637268701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106394697124 + 1468039225 = 326182^2 + 38315^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-107862736349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 107862736294 and 107862736303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107862736309) 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, 53931368174 + 53931368175.

It is an arithmetic number, because the mean of its divisors is an integer number (53931368175).

Almost surely, 2107862736349 is an apocalyptic number.

It is an amenable number.

107862736349 is a deficient number, since it is larger than the sum of its proper divisors (1).

107862736349 is an equidigital number, since it uses as much as digits as its factorization.

107862736349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9144576, while the sum is 56.

The spelling of 107862736349 in words is "one hundred seven billion, eight hundred sixty-two million, seven hundred thirty-six thousand, three hundred forty-nine".