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2127522817 = 72172554049
BaseRepresentation
bin111111011001111…
…0110110000000001
312111021022100122101
41332303312300001
513324121212232
6551040110401
7103502434300
oct17663666001
95437270571
102127522817
119a1a27422
124b4605401
1327ba06454
141627b2437
15c6ba21e7
hex7ecf6c01

2127522817 has 12 divisors (see below), whose sum is σ = 2620455300. Its totient is φ = 1716320256.

The previous prime is 2127522799. The next prime is 2127522823. The reversal of 2127522817 is 7182257212.

It can be written as a sum of positive squares in 2 ways, for example, as 1576963521 + 550559296 = 39711^2 + 23464^2 .

It is not a de Polignac number, because 2127522817 - 223 = 2119134209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2127522847) 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 in 11 ways as a sum of consecutive naturals, for example, 1276192 + ... + 1277857.

It is an arithmetic number, because the mean of its divisors is an integer number (218371275).

Almost surely, 22127522817 is an apocalyptic number.

It is an amenable number.

2127522817 is a deficient number, since it is larger than the sum of its proper divisors (492932483).

2127522817 is a wasteful number, since it uses less digits than its factorization.

2127522817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554080 (or 2554073 counting only the distinct ones).

The product of its digits is 31360, while the sum is 37.

The square root of 2127522817 is about 46125.0779619937. The cubic root of 2127522817 is about 1286.1493684673.

The spelling of 2127522817 in words is "two billion, one hundred twenty-seven million, five hundred twenty-two thousand, eight hundred seventeen".

Divisors: 1 7 17 49 119 833 2554049 17878343 43418833 125148401 303931831 2127522817