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93705485329 is a prime number
BaseRepresentation
bin101011101000101001…
…0000011110000010001
322221212111101212101201
41113101102003300101
53013402101012304
6111014145431201
76525052324531
oct1272122036021
9287774355351
1093705485329
1136816338065
12161b193b501
138ab4716851
14476d0a94c1
1526868283a4
hex15d1483c11

93705485329 has 2 divisors, whose sum is σ = 93705485330. Its totient is φ = 93705485328.

The previous prime is 93705485297. The next prime is 93705485347. The reversal of 93705485329 is 92358450739.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50468521104 + 43236964225 = 224652^2 + 207935^2 .

It is an emirp because it is prime and its reverse (92358450739) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 93705485329 - 25 = 93705485297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 93705485329.

It is not a weakly prime, because it can be changed into another prime (93705485389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46852742664 + 46852742665.

It is an arithmetic number, because the mean of its divisors is an integer number (46852742665).

Almost surely, 293705485329 is an apocalyptic number.

It is an amenable number.

93705485329 is a deficient number, since it is larger than the sum of its proper divisors (1).

93705485329 is an equidigital number, since it uses as much as digits as its factorization.

93705485329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 93705485329 in words is "ninety-three billion, seven hundred five million, four hundred eighty-five thousand, three hundred twenty-nine".