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85345638793 is a prime number
BaseRepresentation
bin100111101111011111…
…1110001100110001001
322011021212212122211221
41033132333301212021
52344241440420133
6103112433122041
76110641650232
oct1173677614611
9264255778757
1085345638793
113321642a688
121465a0b9321
1380817807ac
1441b8ad0089
15234794ba2d
hex13deff1989

85345638793 has 2 divisors, whose sum is σ = 85345638794. Its totient is φ = 85345638792.

The previous prime is 85345638761. The next prime is 85345638811. The reversal of 85345638793 is 39783654358.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76824871929 + 8520766864 = 277173^2 + 92308^2 .

It is a cyclic number.

It is not a de Polignac number, because 85345638793 - 25 = 85345638761 is a prime.

It is not a weakly prime, because it can be changed into another prime (85345638493) 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, 42672819396 + 42672819397.

It is an arithmetic number, because the mean of its divisors is an integer number (42672819397).

Almost surely, 285345638793 is an apocalyptic number.

It is an amenable number.

85345638793 is a deficient number, since it is larger than the sum of its proper divisors (1).

85345638793 is an equidigital number, since it uses as much as digits as its factorization.

85345638793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 65318400, while the sum is 61.

The spelling of 85345638793 in words is "eighty-five billion, three hundred forty-five million, six hundred thirty-eight thousand, seven hundred ninety-three".