Search a number
-
+
13171294208 = 2173172
BaseRepresentation
bin11000100010001001…
…00000000000000000
31020222221010001221102
430101010200000000
5203433322403313
610014550313532
7644253103442
oct142104400000
936887101842
1013171294208
115649941316
1226770588a8
13131ba18117
148cd3d8492
155214daa58
hex311120000

13171294208 has 54 divisors (see below), whose sum is σ = 26425849401. Its totient is φ = 6564872192.

The previous prime is 13171294207. The next prime is 13171294217. The reversal of 13171294208 is 80249217131.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 9613410304 + 3557883904 = 98048^2 + 59648^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=81152.

It is a super-2 number, since 2×131712942082 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13171294207) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 41549666 + ... + 41549982.

Almost surely, 213171294208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13171294208

13171294208 is an abundant number, since it is smaller than the sum of its proper divisors (13254555193).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13171294208 is an frugal number, since it uses more digits than its factorization.

13171294208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The spelling of 13171294208 in words is "thirteen billion, one hundred seventy-one million, two hundred ninety-four thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 128 256 317 512 634 1024 1268 2048 2536 4096 5072 8192 10144 16384 20288 32768 40576 65536 81152 100489 131072 162304 200978 324608 401956 649216 803912 1298432 1607824 2596864 3215648 5193728 6431296 10387456 12862592 20774912 25725184 41549824 51450368 102900736 205801472 411602944 823205888 1646411776 3292823552 6585647104 13171294208