Search a number
-
+
2106517649 is a prime number
BaseRepresentation
bin111110110001110…
…1110100010010001
312102210210011222012
41331203232202101
513303232031044
6545005552305
7103126050605
oct17543564221
95383704865
102106517649
1199108a985
124a9575695
13277560662
1415daa5505
15c4e0359e
hex7d8ee891

2106517649 has 2 divisors, whose sum is σ = 2106517650. Its totient is φ = 2106517648.

The previous prime is 2106517627. The next prime is 2106517657. The reversal of 2106517649 is 9467156012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1346523025 + 759994624 = 36695^2 + 27568^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2106517649 is a prime.

It is not a weakly prime, because it can be changed into another prime (2106517849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1053258824 + 1053258825.

It is an arithmetic number, because the mean of its divisors is an integer number (1053258825).

Almost surely, 22106517649 is an apocalyptic number.

It is an amenable number.

2106517649 is a deficient number, since it is larger than the sum of its proper divisors (1).

2106517649 is an equidigital number, since it uses as much as digits as its factorization.

2106517649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 2106517649 is about 45896.8152380969. The cubic root of 2106517649 is about 1281.9026166796.

The spelling of 2106517649 in words is "two billion, one hundred six million, five hundred seventeen thousand, six hundred forty-nine".