Search a number
-
+
329004567829057 is a prime number
BaseRepresentation
bin100101011001110100101100…
…0011001010001101001000001
31121010220112022000101200100011
41022303221120121101221001
5321110402323331012212
63123422340101224521
7126204536616263161
oct11263513031215101
91533815260350304
10329004567829057
119591606545421a
1230a97358102141
1311176cc7a10663
145b35c982a05a1
15280826ce0c4a7
hex12b3a58651a41

329004567829057 has 2 divisors, whose sum is σ = 329004567829058. Its totient is φ = 329004567829056.

The previous prime is 329004567829043. The next prime is 329004567829081. The reversal of 329004567829057 is 750928765400923.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 181265186002576 + 147739381826481 = 13463476^2 + 12154809^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-329004567829057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 329004567828983 and 329004567829001.

It is not a weakly prime, because it can be changed into another prime (329004567829957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164502283914528 + 164502283914529.

It is an arithmetic number, because the mean of its divisors is an integer number (164502283914529).

Almost surely, 2329004567829057 is an apocalyptic number.

It is an amenable number.

329004567829057 is a deficient number, since it is larger than the sum of its proper divisors (1).

329004567829057 is an equidigital number, since it uses as much as digits as its factorization.

329004567829057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 228614400, while the sum is 67.

The spelling of 329004567829057 in words is "three hundred twenty-nine trillion, four billion, five hundred sixty-seven million, eight hundred twenty-nine thousand, fifty-seven".