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385741147601 is a prime number
BaseRepresentation
bin1011001110011111111…
…01101100110111010001
31100212122222000121200102
411213033331230313101
522304444213210401
6453112415302145
736604011440525
oct5471775546721
91325588017612
10385741147601
11139656904567
1262913b1a955
132a4b550a684
1414954587d85
15a079bd356b
hex59cff6cdd1

385741147601 has 2 divisors, whose sum is σ = 385741147602. Its totient is φ = 385741147600.

The previous prime is 385741147553. The next prime is 385741147639. The reversal of 385741147601 is 106741147583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 361172152576 + 24568995025 = 600976^2 + 156745^2 .

It is a cyclic number.

It is not a de Polignac number, because 385741147601 - 26 = 385741147537 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (385741147691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192870573800 + 192870573801.

It is an arithmetic number, because the mean of its divisors is an integer number (192870573801).

Almost surely, 2385741147601 is an apocalyptic number.

It is an amenable number.

385741147601 is a deficient number, since it is larger than the sum of its proper divisors (1).

385741147601 is an equidigital number, since it uses as much as digits as its factorization.

385741147601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 564480, while the sum is 47.

The spelling of 385741147601 in words is "three hundred eighty-five billion, seven hundred forty-one million, one hundred forty-seven thousand, six hundred one".