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13098282912 = 25321121329997
BaseRepresentation
bin11000011001011011…
…11110111110100000
31020210211201201021100
430030231332332200
5203311130023122
610003421354400
7642405365511
oct141455767640
936724651240
1013098282912
115611703900
122656708a00
131309863a80
148c3830a08
15519db7aac
hex30cb7efa0

13098282912 has 432 divisors, whose sum is σ = 45657841320. Its totient is φ = 3533967360.

The previous prime is 13098282887. The next prime is 13098282917. The reversal of 13098282912 is 21928289031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11347362576 + 1750920336 = 106524^2 + 41844^2 .

It is not an unprimeable number, because it can be changed into a prime (13098282917) 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 71 ways as a sum of consecutive naturals, for example, 13137198 + ... + 13138194.

Almost surely, 213098282912 is an apocalyptic number.

13098282912 is a gapful number since it is divisible by the number (12) 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 13098282912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22828920660).

13098282912 is an abundant number, since it is smaller than the sum of its proper divisors (32559558408).

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

13098282912 is a wasteful number, since it uses less digits than its factorization.

13098282912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 13098282912 in words is "thirteen billion, ninety-eight million, two hundred eighty-two thousand, nine hundred twelve".