Search a number
-
+
42736087309 is a prime number
BaseRepresentation
bin100111110011010001…
…001111000100001101
311002022100111011200111
4213303101033010031
51200010414243214
631344354400021
73042016514506
oct476321170415
9132270434614
1042736087309
1117140452a23
128348290011
134050b92936
1420d5b15bad
1511a1ce95c4
hex9f344f10d

42736087309 has 2 divisors, whose sum is σ = 42736087310. Its totient is φ = 42736087308.

The previous prime is 42736087223. The next prime is 42736087327. The reversal of 42736087309 is 90378063724.

42736087309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23036561284 + 19699526025 = 151778^2 + 140355^2 .

It is a cyclic number.

It is not a de Polignac number, because 42736087309 - 213 = 42736079117 is a prime.

It is a super-2 number, since 2×427360873092 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42736087369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21368043654 + 21368043655.

It is an arithmetic number, because the mean of its divisors is an integer number (21368043655).

Almost surely, 242736087309 is an apocalyptic number.

It is an amenable number.

42736087309 is a deficient number, since it is larger than the sum of its proper divisors (1).

42736087309 is an equidigital number, since it uses as much as digits as its factorization.

42736087309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 42736087309 in words is "forty-two billion, seven hundred thirty-six million, eighty-seven thousand, three hundred nine".