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12426338304 = 2133461307
BaseRepresentation
bin10111001001010101…
…01110000000000000
31012002000100101120000
423210222232000000
5200422120311204
65413015320000
7616636063362
oct134452560000
935060311500
1012426338304
1152a7386986
1224a9680000
131230598503
1485c4bad32
154cadd8039
hex2e4aae000

12426338304 has 280 divisors, whose sum is σ = 37854821928. Its totient is φ = 4060938240.

The previous prime is 12426338299. The next prime is 12426338311. The reversal of 12426338304 is 40383362421.

12426338304 is a `hidden beast` number, since 12 + 4 + 2 + 6 + 338 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40476519 + ... + 40476825.

Almost surely, 212426338304 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 12426338304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18927410964).

12426338304 is an abundant number, since it is smaller than the sum of its proper divisors (25428483624).

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

12426338304 is an frugal number, since it uses more digits than its factorization.

12426338304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 12426338304 in words is "twelve billion, four hundred twenty-six million, three hundred thirty-eight thousand, three hundred four".