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12669459200 = 28524153911
BaseRepresentation
bin10111100110010100…
…01001101100000000
31012200221211012201122
423303022021230000
5201421340143300
65453102251412
7625650424556
oct136312115400
935627735648
1012669459200
115411641242
122556b86b68
13126ba6ca28
148828c5bd6
154e240dc85
hex2f3289b00

12669459200 has 216 divisors, whose sum is σ = 32765777856. Its totient is φ = 4845568000.

The previous prime is 12669459197. The next prime is 12669459259. The reversal of 12669459200 is 295496621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13906745 + ... + 13907655.

It is an arithmetic number, because the mean of its divisors is an integer number (151693416).

Almost surely, 212669459200 is an apocalyptic number.

12669459200 is a gapful number since it is divisible by the number (10) 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 12669459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16382888928).

12669459200 is an abundant number, since it is smaller than the sum of its proper divisors (20096318656).

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

12669459200 is an equidigital number, since it uses as much as digits as its factorization.

12669459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 12669459200 in words is "twelve billion, six hundred sixty-nine million, four hundred fifty-nine thousand, two hundred".