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29826326209 = 172101592
BaseRepresentation
bin11011110001110010…
…011001111011000001
32211222122111100201111
4123301302121323001
5442041014414314
621411345403321
72104060406161
oct336162317301
984878440644
1029826326209
1111716202379
125944939541
132a743c7844
14162d35a5a1
15b9876eec4
hex6f1c99ec1

29826326209 has 9 divisors (see below), whose sum is σ = 31687140387. Its totient is φ = 28069073184.

The previous prime is 29826326177. The next prime is 29826326221. The reversal of 29826326209 is 90262362892.

The square root of 29826326209 is 172703.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23221188225 + 6605137984 = 152385^2 + 81272^2 .

It is not a de Polignac number, because 29826326209 - 25 = 29826326177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29826326279) 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 in 8 ways as a sum of consecutive naturals, for example, 2930872 + ... + 2941030.

Almost surely, 229826326209 is an apocalyptic number.

29826326209 is the 172703-rd square number.

29826326209 is the 86352-nd centered octagonal number.

It is an amenable number.

29826326209 is a deficient number, since it is larger than the sum of its proper divisors (1860814178).

29826326209 is an frugal number, since it uses more digits than its factorization.

29826326209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20352 (or 10176 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

Multiplying 29826326209 by its sum of digits (49), we get a square (1461489984241 = 12089212).

The spelling of 29826326209 in words is "twenty-nine billion, eight hundred twenty-six million, three hundred twenty-six thousand, two hundred nine".

Divisors: 1 17 289 10159 172703 2935951 103205281 1754489777 29826326209