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385198513937 is a prime number
BaseRepresentation
bin1011001101011111001…
…11101101111100010001
31100211021010221222020022
411212233213231330101
522302341304421222
6452542512553225
736554402226266
oct5465747557421
91324233858208
10385198513937
111393a8578896
12627a2252815
132a429c79073
141490249526d
15a047248042
hex59af9edf11

385198513937 has 2 divisors, whose sum is σ = 385198513938. Its totient is φ = 385198513936.

The previous prime is 385198513907. The next prime is 385198513949. The reversal of 385198513937 is 739315891583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 323944243921 + 61254270016 = 569161^2 + 247496^2 .

It is an emirp because it is prime and its reverse (739315891583) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 385198513937 - 26 = 385198513873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 385198513937.

It is not a weakly prime, because it can be changed into another prime (385198513907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192599256968 + 192599256969.

It is an arithmetic number, because the mean of its divisors is an integer number (192599256969).

Almost surely, 2385198513937 is an apocalyptic number.

It is an amenable number.

385198513937 is a deficient number, since it is larger than the sum of its proper divisors (1).

385198513937 is an equidigital number, since it uses as much as digits as its factorization.

385198513937 is an evil number, because the sum of its binary digits is even.

The product of its digits is 24494400, while the sum is 62.

The spelling of 385198513937 in words is "three hundred eighty-five billion, one hundred ninety-eight million, five hundred thirteen thousand, nine hundred thirty-seven".