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838121869 = 13211934157
BaseRepresentation
bin110001111101001…
…011100110001101
32011102002000001201
4301331023212031
53204024344434
6215055505501
726524626664
oct6175134615
92142060051
10838121869
113a0109402
121b4828291
1310483c900
147d44dddb
154d8a7614
hex31f4b98d

838121869 has 12 divisors (see below), whose sum is σ = 908531316. Its totient is φ = 772816512.

The previous prime is 838121861. The next prime is 838121923. The reversal of 838121869 is 968121838.

It can be written as a sum of positive squares in 6 ways, for example, as 130827844 + 707294025 = 11438^2 + 26595^2 .

It is not a de Polignac number, because 838121869 - 23 = 838121861 is a prime.

It is a super-2 number, since 2×8381218692 = 1404896534592106322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838121861) 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, 199539 + ... + 203695.

It is an arithmetic number, because the mean of its divisors is an integer number (75710943).

Almost surely, 2838121869 is an apocalyptic number.

It is an amenable number.

838121869 is a deficient number, since it is larger than the sum of its proper divisors (70409447).

838121869 is a wasteful number, since it uses less digits than its factorization.

838121869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376 (or 5363 counting only the distinct ones).

The product of its digits is 165888, while the sum is 46.

The square root of 838121869 is about 28950.3345231104. The cubic root of 838121869 is about 942.8350612116.

The spelling of 838121869 in words is "eight hundred thirty-eight million, one hundred twenty-one thousand, eight hundred sixty-nine".

Divisors: 1 13 169 1193 4157 15509 54041 201617 702533 4959301 64470913 838121869