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2137668817 is a prime number
BaseRepresentation
bin111111101101010…
…0011110011010001
312111222101211100011
41333122203303101
513334220400232
6552041354521
7103654612414
oct17732436321
95458354304
102137668817
119a7727249
124b7a98a41
13280b495bb
14163c93b7b
15c7a08547
hex7f6a3cd1

2137668817 has 2 divisors, whose sum is σ = 2137668818. Its totient is φ = 2137668816.

The previous prime is 2137668809. The next prime is 2137668877. The reversal of 2137668817 is 7188667312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2033649216 + 104019601 = 45096^2 + 10199^2 .

It is a cyclic number.

It is not a de Polignac number, because 2137668817 - 23 = 2137668809 is a prime.

It is not a weakly prime, because it can be changed into another prime (2137668877) 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, 1068834408 + 1068834409.

It is an arithmetic number, because the mean of its divisors is an integer number (1068834409).

Almost surely, 22137668817 is an apocalyptic number.

It is an amenable number.

2137668817 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137668817 is an equidigital number, since it uses as much as digits as its factorization.

2137668817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 677376, while the sum is 49.

The square root of 2137668817 is about 46234.9307017973. The cubic root of 2137668817 is about 1288.1906442803.

The spelling of 2137668817 in words is "two billion, one hundred thirty-seven million, six hundred sixty-eight thousand, eight hundred seventeen".