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85393075949 is a prime number
BaseRepresentation
bin100111110000111010…
…0101110111011101101
322011102012010201101122
41033201310232323231
52344341111412244
6103121245550325
76112056112046
oct1174164567355
9264365121348
1085393075949
113324018a945
1214671b753a5
13808b54c50c
1441c111b8cd
15234bbbc1ee
hex13e1d2eeed

85393075949 has 2 divisors, whose sum is σ = 85393075950. Its totient is φ = 85393075948.

The previous prime is 85393075919. The next prime is 85393075969. The reversal of 85393075949 is 94957039358.

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., 58182264100 + 27210811849 = 241210^2 + 164957^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85393075949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85393075891 and 85393075900.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85393075919) 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, 42696537974 + 42696537975.

It is an arithmetic number, because the mean of its divisors is an integer number (42696537975).

Almost surely, 285393075949 is an apocalyptic number.

It is an amenable number.

85393075949 is a deficient number, since it is larger than the sum of its proper divisors (1).

85393075949 is an equidigital number, since it uses as much as digits as its factorization.

85393075949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36741600, while the sum is 62.

The spelling of 85393075949 in words is "eighty-five billion, three hundred ninety-three million, seventy-five thousand, nine hundred forty-nine".