Search a number
-
+
2137649617 is a prime number
BaseRepresentation
bin111111101101001…
…1111000111010001
312111222100212000001
41333122133013101
513334214241432
6552041130001
7103654502425
oct17732370721
95458325001
102137649617
119a7713884
124b7a89901
13280b4093c
14163c8ab85
15c7a029e7
hex7f69f1d1

2137649617 has 2 divisors, whose sum is σ = 2137649618. Its totient is φ = 2137649616.

The previous prime is 2137649603. The next prime is 2137649627. The reversal of 2137649617 is 7169467312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1423477441 + 714172176 = 37729^2 + 26724^2 .

It is a cyclic number.

It is not a de Polignac number, because 2137649617 - 27 = 2137649489 is a prime.

It is not a weakly prime, because it can be changed into another prime (2137649627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1068824808 + 1068824809.

It is an arithmetic number, because the mean of its divisors is an integer number (1068824809).

Almost surely, 22137649617 is an apocalyptic number.

It is an amenable number.

2137649617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137649617 is an equidigital number, since it uses as much as digits as its factorization.

2137649617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 381024, while the sum is 46.

The square root of 2137649617 is about 46234.7230661113. The cubic root of 2137649617 is about 1288.1867875347.

The spelling of 2137649617 in words is "two billion, one hundred thirty-seven million, six hundred forty-nine thousand, six hundred seventeen".