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2009177253 = 32223241917
BaseRepresentation
bin111011111000001…
…1001110010100101
312012000121210001100
41313300121302211
513103322133003
6531211350313
7100534503426
oct16760316245
95160553040
102009177253
11941145676
12480a52399
1326033b5a5
14150ba764d
15bb5c6ba3
hex77c19ca5

2009177253 has 6 divisors (see below), whose sum is σ = 2902144934. Its totient is φ = 1339451496.

The previous prime is 2009177231. The next prime is 2009177273. The reversal of 2009177253 is 3527719002.

It can be written as a sum of positive squares in only one way, i.e., 1541190564 + 467986689 = 39258^2 + 21633^2 .

It is not a de Polignac number, because 2009177253 - 213 = 2009169061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009177273) 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 5 ways as a sum of consecutive naturals, for example, 111620950 + ... + 111620967.

Almost surely, 22009177253 is an apocalyptic number.

It is an amenable number.

2009177253 is a deficient number, since it is larger than the sum of its proper divisors (892967681).

2009177253 is a wasteful number, since it uses less digits than its factorization.

2009177253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223241923 (or 223241920 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 2009177253 is about 44823.8469232617. The cubic root of 2009177253 is about 1261.8452121742.

It can be divided in two parts, 20091 and 77253, that added together give a square (97344 = 3122).

The spelling of 2009177253 in words is "two billion, nine million, one hundred seventy-seven thousand, two hundred fifty-three".

Divisors: 1 3 9 223241917 669725751 2009177253