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13409399808 = 2103271712227
BaseRepresentation
bin11000111110100001…
…10011010000000000
31021121112011002102100
430133100303100000
5204430301243213
610054333550400
7653204006040
oct143720632000
937545132370
1013409399808
115761290602
122722945400
1313591548cc
14912c99720
15537370773
hex31f433400

13409399808 has 264 divisors, whose sum is σ = 46857500352. Its totient is φ = 3605594112.

The previous prime is 13409399803. The next prime is 13409399827. The reversal of 13409399808 is 80899390431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13409399803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1090591 + ... + 1102817.

Almost surely, 213409399808 is an apocalyptic number.

13409399808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13409399808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23428750176).

13409399808 is an abundant number, since it is smaller than the sum of its proper divisors (33448100544).

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

13409399808 is a wasteful number, since it uses less digits than its factorization.

13409399808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12277 (or 12256 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 13409399808 in words is "thirteen billion, four hundred nine million, three hundred ninety-nine thousand, eight hundred eight".