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385892353921 is a prime number
BaseRepresentation
bin1011001110110001111…
…10100000011110000001
31100220001111112200202111
411213120332200132001
522310301420311141
6453135420215321
736610525613344
oct5473076403601
91326044480674
10385892353921
111397241a0068
126295669a541
132a50a93c679
141496a6a845b
15a088100381
hex59d8fa0781

385892353921 has 2 divisors, whose sum is σ = 385892353922. Its totient is φ = 385892353920.

The previous prime is 385892353883. The next prime is 385892353993. The reversal of 385892353921 is 129353298583.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 385685713296 + 206640625 = 621036^2 + 14375^2 .

It is an emirp because it is prime and its reverse (129353298583) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-385892353921 is a prime.

It is not a weakly prime, because it can be changed into another prime (385892953921) 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, 192946176960 + 192946176961.

It is an arithmetic number, because the mean of its divisors is an integer number (192946176961).

Almost surely, 2385892353921 is an apocalyptic number.

It is an amenable number.

385892353921 is a deficient number, since it is larger than the sum of its proper divisors (1).

385892353921 is an equidigital number, since it uses as much as digits as its factorization.

385892353921 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13996800, while the sum is 58.

The spelling of 385892353921 in words is "three hundred eighty-five billion, eight hundred ninety-two million, three hundred fifty-three thousand, nine hundred twenty-one".