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85382617741 is a prime number
BaseRepresentation
bin100111110000100110…
…0110101101010001101
322011101110110101102121
41033201030311222031
52344330422231431
6103120233452541
76111601163461
oct1174114655215
9264343411377
1085382617741
11332352974a3
121466a571151
13808932a225
1441bd9984a1
15234ad03611
hex13e1335a8d

85382617741 has 2 divisors, whose sum is σ = 85382617742. Its totient is φ = 85382617740.

The previous prime is 85382617709. The next prime is 85382617777. The reversal of 85382617741 is 14771628358.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65063255625 + 20319362116 = 255075^2 + 142546^2 .

It is a cyclic number.

It is not a de Polignac number, because 85382617741 - 25 = 85382617709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85382612741) 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, 42691308870 + 42691308871.

It is an arithmetic number, because the mean of its divisors is an integer number (42691308871).

Almost surely, 285382617741 is an apocalyptic number.

It is an amenable number.

85382617741 is a deficient number, since it is larger than the sum of its proper divisors (1).

85382617741 is an equidigital number, since it uses as much as digits as its factorization.

85382617741 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2257920, while the sum is 52.

The spelling of 85382617741 in words is "eighty-five billion, three hundred eighty-two million, six hundred seventeen thousand, seven hundred forty-one".