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85995768941 is a prime number
BaseRepresentation
bin101000000010110111…
…1110100110001101101
322012222012012200202022
41100011233310301231
52402104404101231
6103301135435525
76133024655345
oct1200557646155
9265865180668
1085995768941
113351a408025
12147bb985ba5
13815637baa4
14423b1a5d25
152384a6cc7b
hex1405bf4c6d

85995768941 has 2 divisors, whose sum is σ = 85995768942. Its totient is φ = 85995768940.

The previous prime is 85995768869. The next prime is 85995768949. The reversal of 85995768941 is 14986759958.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58054974916 + 27940794025 = 240946^2 + 167155^2 .

It is a cyclic number.

It is not a de Polignac number, because 85995768941 - 218 = 85995506797 is a prime.

It is a super-2 number, since 2×859957689412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85995768949) 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, 42997884470 + 42997884471.

It is an arithmetic number, because the mean of its divisors is an integer number (42997884471).

Almost surely, 285995768941 is an apocalyptic number.

It is an amenable number.

85995768941 is a deficient number, since it is larger than the sum of its proper divisors (1).

85995768941 is an equidigital number, since it uses as much as digits as its factorization.

85995768941 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 195955200, while the sum is 71.

The spelling of 85995768941 in words is "eighty-five billion, nine hundred ninety-five million, seven hundred sixty-eight thousand, nine hundred forty-one".