Search a number
-
+
3687669170461 is a prime number
BaseRepresentation
bin110101101010011010001…
…101100000000100011101
3111001112112000010122000201
4311222122031200010131
5440404321301423321
611502031500223501
7530265610522213
oct65523215400435
914045460118021
103687669170461
1111a1a28122661
124b6840b3ab91
13209990431ab3
14ca6ac6a2cb3
1565dd0ecc291
hex35a9a36011d

3687669170461 has 2 divisors, whose sum is σ = 3687669170462. Its totient is φ = 3687669170460.

The previous prime is 3687669170447. The next prime is 3687669170473. The reversal of 3687669170461 is 1640719667863.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2093030586361 + 1594638584100 = 1446731^2 + 1262790^2 .

It is a cyclic number.

It is not a de Polignac number, because 3687669170461 - 217 = 3687669039389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3687669170393 and 3687669170402.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3687669170261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1843834585230 + 1843834585231.

It is an arithmetic number, because the mean of its divisors is an integer number (1843834585231).

Almost surely, 23687669170461 is an apocalyptic number.

It is an amenable number.

3687669170461 is a deficient number, since it is larger than the sum of its proper divisors (1).

3687669170461 is an equidigital number, since it uses as much as digits as its factorization.

3687669170461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54867456, while the sum is 64.

The spelling of 3687669170461 in words is "three trillion, six hundred eighty-seven billion, six hundred sixty-nine million, one hundred seventy thousand, four hundred sixty-one".