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115072441829 is a prime number
BaseRepresentation
bin110101100101011011…
…0100001110111100101
3102000000121002201102222
41223022312201313211
53341132021114304
6124510305442125
711212413421412
oct1531266416745
9360017081388
10115072441829
11448904367a4
121a375640345
13ab0b370887
1457d8b41109
152ed75ad4be
hex1acada1de5

115072441829 has 2 divisors, whose sum is σ = 115072441830. Its totient is φ = 115072441828.

The previous prime is 115072441811. The next prime is 115072441837. The reversal of 115072441829 is 928144270511.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69661684225 + 45410757604 = 263935^2 + 213098^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-115072441829 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 115072441829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (115072491829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57536220914 + 57536220915.

It is an arithmetic number, because the mean of its divisors is an integer number (57536220915).

Almost surely, 2115072441829 is an apocalyptic number.

It is an amenable number.

115072441829 is a deficient number, since it is larger than the sum of its proper divisors (1).

115072441829 is an equidigital number, since it uses as much as digits as its factorization.

115072441829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 44.

The spelling of 115072441829 in words is "one hundred fifteen billion, seventy-two million, four hundred forty-one thousand, eight hundred twenty-nine".