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13291929728 = 2772113741127
BaseRepresentation
bin11000110000100001…
…01100000010000000
31021022100002222202122
430120100230002000
5204210213222403
610034540103412
7650246352500
oct143020540200
937270088678
1013291929728
115700a475a0
1226ab534b68
13133aa0539c
1490143ba00
1552bdb9838
hex31842c080

13291929728 has 384 divisors, whose sum is σ = 35631912960. Its totient is φ = 4877107200.

The previous prime is 13291929727. The next prime is 13291929733. The reversal of 13291929728 is 82792919231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13291929728.

It is not an unprimeable number, because it can be changed into a prime (13291929727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104660801 + ... + 104660927.

It is an arithmetic number, because the mean of its divisors is an integer number (92791440).

Almost surely, 213291929728 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 13291929728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17815956480).

13291929728 is an abundant number, since it is smaller than the sum of its proper divisors (22339983232).

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

13291929728 is a wasteful number, since it uses less digits than its factorization.

13291929728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its digits is 979776, while the sum is 53.

The spelling of 13291929728 in words is "thirteen billion, two hundred ninety-one million, nine hundred twenty-nine thousand, seven hundred twenty-eight".