Search a number
-
+
29646839857 is a prime number
BaseRepresentation
bin11011100111000101…
…101110000000110001
32211112010202111201211
4123213011232000301
5441204042333412
621341454400121
72066450660305
oct334705560061
984463674654
1029646839857
1111633960648
1258b4800041
132a461736bb
141613597d05
15b87b18ca7
hex6e716e031

29646839857 has 2 divisors, whose sum is σ = 29646839858. Its totient is φ = 29646839856.

The previous prime is 29646839837. The next prime is 29646839921. The reversal of 29646839857 is 75893864692.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26670482721 + 2976357136 = 163311^2 + 54556^2 .

It is a cyclic number.

It is not a de Polignac number, because 29646839857 - 227 = 29512622129 is a prime.

It is a super-2 number, since 2×296468398572 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29646839792 and 29646839801.

It is not a weakly prime, because it can be changed into another prime (29646839837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14823419928 + 14823419929.

It is an arithmetic number, because the mean of its divisors is an integer number (14823419929).

Almost surely, 229646839857 is an apocalyptic number.

It is an amenable number.

29646839857 is a deficient number, since it is larger than the sum of its proper divisors (1).

29646839857 is an equidigital number, since it uses as much as digits as its factorization.

29646839857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 156764160, while the sum is 67.

The spelling of 29646839857 in words is "twenty-nine billion, six hundred forty-six million, eight hundred thirty-nine thousand, eight hundred fifty-seven".