Search a number
-
+
383961128017 is a prime number
BaseRepresentation
bin1011001011001011101…
…11011101110001010001
31100201001220121020212011
411211211313131301101
522242323022044032
6452220031302521
736511625511205
oct5454567356121
91321056536764
10383961128017
111389230574a5
12624b797aa41
132a2907c4b4c
1414825dd2b05
159ec37c5247
hex5965dddc51

383961128017 has 2 divisors, whose sum is σ = 383961128018. Its totient is φ = 383961128016.

The previous prime is 383961127939. The next prime is 383961128029. The reversal of 383961128017 is 710821169383.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 383834767936 + 126360081 = 619544^2 + 11241^2 .

It is a cyclic number.

It is not a de Polignac number, because 383961128017 - 27 = 383961127889 is a prime.

It is a super-2 number, since 2×3839611280172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (383961123017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191980564008 + 191980564009.

It is an arithmetic number, because the mean of its divisors is an integer number (191980564009).

Almost surely, 2383961128017 is an apocalyptic number.

It is an amenable number.

383961128017 is a deficient number, since it is larger than the sum of its proper divisors (1).

383961128017 is an equidigital number, since it uses as much as digits as its factorization.

383961128017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 435456, while the sum is 49.

The spelling of 383961128017 in words is "three hundred eighty-three billion, nine hundred sixty-one million, one hundred twenty-eight thousand, seventeen".