Search a number
-
+
2970577409 is a prime number
BaseRepresentation
bin1011000100001111…
…0110101000000001
321200000122222010112
42301003312220001
522040431434114
61210433441105
7133420330352
oct26103665001
97600588115
102970577409
1112948a4858
126aaa10195
13384582317
14202747d29
15125bd113e
hexb10f6a01

2970577409 has 2 divisors, whose sum is σ = 2970577410. Its totient is φ = 2970577408.

The previous prime is 2970577403. The next prime is 2970577411. The reversal of 2970577409 is 9047750792.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2970577009 + 400 = 54503^2 + 20^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2970577409 is a prime.

It is a super-2 number, since 2×29705774092 = 17648660285722306562, which contains 22 as substring.

Together with 2970577411, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2970577403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1485288704 + 1485288705.

It is an arithmetic number, because the mean of its divisors is an integer number (1485288705).

Almost surely, 22970577409 is an apocalyptic number.

It is an amenable number.

2970577409 is a deficient number, since it is larger than the sum of its proper divisors (1).

2970577409 is an equidigital number, since it uses as much as digits as its factorization.

2970577409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1111320, while the sum is 50.

The square root of 2970577409 is about 54503.0036695227. The cubic root of 2970577409 is about 1437.5191028993.

The spelling of 2970577409 in words is "two billion, nine hundred seventy million, five hundred seventy-seven thousand, four hundred nine".