Search a number
-
+
292057776137 is a prime number
BaseRepresentation
bin1000100000000000000…
…00000000000000001001
31000220212000020020210202
410100000000000000021
514241113242314022
6342100335421545
730046315064621
oct4200000000011
91026760206722
10292057776137
11102952000a26
12487296848b5
132170556746a
14101c83d7881
1578e52c7592
hex4400000009

292057776137 has 2 divisors, whose sum is σ = 292057776138. Its totient is φ = 292057776136.

The previous prime is 292057776103. The next prime is 292057776161. The reversal of 292057776137 is 731677750292.

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., 262534289161 + 29523486976 = 512381^2 + 171824^2 .

It is a cyclic number.

It is not a de Polignac number, because 292057776137 - 214 = 292057759753 is a prime.

It is not a weakly prime, because it can be changed into another prime (292057776037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 146028888068 + 146028888069.

It is an arithmetic number, because the mean of its divisors is an integer number (146028888069).

Almost surely, 2292057776137 is an apocalyptic number.

It is an amenable number.

292057776137 is a deficient number, since it is larger than the sum of its proper divisors (1).

292057776137 is an equidigital number, since it uses as much as digits as its factorization.

292057776137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7779240, while the sum is 56.

The spelling of 292057776137 in words is "two hundred ninety-two billion, fifty-seven million, seven hundred seventy-six thousand, one hundred thirty-seven".