Search a number
-
+
2929000033 is a prime number
BaseRepresentation
bin1010111010010100…
…1111111001100001
321120010102121200201
42232211033321201
521444311000113
61202350345201
7132404042461
oct25645177141
97503377621
102929000033
111273387093
12698abb201
13378a8581b
141db003ba1
1512221bcdd
hexae94fe61

2929000033 has 2 divisors, whose sum is σ = 2929000034. Its totient is φ = 2929000032.

The previous prime is 2929000027. The next prime is 2929000093. The reversal of 2929000033 is 3300009292.

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., 2471382369 + 457617664 = 49713^2 + 21392^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2929000033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2928999965 and 2929000010.

It is not a weakly prime, because it can be changed into another prime (2929000013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1464500016 + 1464500017.

It is an arithmetic number, because the mean of its divisors is an integer number (1464500017).

Almost surely, 22929000033 is an apocalyptic number.

It is an amenable number.

2929000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2929000033 is an equidigital number, since it uses as much as digits as its factorization.

2929000033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 2929000033 is about 54120.2368158159. The cubic root of 2929000033 is about 1430.7808721938.

The spelling of 2929000033 in words is "two billion, nine hundred twenty-nine million, thirty-three", and thus it is an aban number.