Search a number
-
+
37768841161 is a prime number
BaseRepresentation
bin100011001011001100…
…101100011111001001
310121111011201220221221
4203023030230133021
51104322310404121
625203433202041
72504642565352
oct431314543711
9117434656857
1037768841161
1115021587417
1273a0860321
13373ba6162c
141b8413cd29
15eb0bb2b41
hex8cb32c7c9

37768841161 has 2 divisors, whose sum is σ = 37768841162. Its totient is φ = 37768841160.

The previous prime is 37768841147. The next prime is 37768841183. The reversal of 37768841161 is 16114886773.

It is a happy number.

37768841161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23981619600 + 13787221561 = 154860^2 + 117419^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37768841161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 37768841099 and 37768841108.

It is not a weakly prime, because it can be changed into another prime (37768841141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18884420580 + 18884420581.

It is an arithmetic number, because the mean of its divisors is an integer number (18884420581).

Almost surely, 237768841161 is an apocalyptic number.

It is an amenable number.

37768841161 is a deficient number, since it is larger than the sum of its proper divisors (1).

37768841161 is an equidigital number, since it uses as much as digits as its factorization.

37768841161 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1354752, while the sum is 52.

The spelling of 37768841161 in words is "thirty-seven billion, seven hundred sixty-eight million, eight hundred forty-one thousand, one hundred sixty-one".