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385503148817 is a prime number
BaseRepresentation
bin1011001110000011100…
…01110011101100010001
31100212001101012000201122
411213001301303230101
522304002301230232
6453033034212025
736565061461523
oct5470161635421
91325041160648
10385503148817
11139544528556
1262868284015
132a47810a6a7
1414930b13a13
15a063d70312
hex59c1c73b11

385503148817 has 2 divisors, whose sum is σ = 385503148818. Its totient is φ = 385503148816.

The previous prime is 385503148711. The next prime is 385503148843. The reversal of 385503148817 is 718841305583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255817454656 + 129685694161 = 505784^2 + 360119^2 .

It is a cyclic number.

It is not a de Polignac number, because 385503148817 - 234 = 368323279633 is a prime.

It is a super-2 number, since 2×3855031488172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (385503148867) 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, 192751574408 + 192751574409.

It is an arithmetic number, because the mean of its divisors is an integer number (192751574409).

Almost surely, 2385503148817 is an apocalyptic number.

It is an amenable number.

385503148817 is a deficient number, since it is larger than the sum of its proper divisors (1).

385503148817 is an equidigital number, since it uses as much as digits as its factorization.

385503148817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3225600, while the sum is 53.

The spelling of 385503148817 in words is "three hundred eighty-five billion, five hundred three million, one hundred forty-eight thousand, eight hundred seventeen".