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12744235008 = 21133376229
BaseRepresentation
bin10111101111001110…
…11001100000000000
31012220011112012212000
423313213121200000
5202100011010013
65504333104000
7630546132051
oct136747314000
935804465760
1012744235008
11544a87442a
122578028000
1312813c127b
1488c7cc728
154e8c7e973
hex2f79d9800

12744235008 has 192 divisors, whose sum is σ = 38778012000. Its totient is φ = 4132601856.

The previous prime is 12744234973. The next prime is 12744235027. The reversal of 12744235008 is 80053244721.

It is a happy number.

12744235008 is a `hidden beast` number, since 127 + 4 + 4 + 23 + 500 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 15 ways as a sum of consecutive naturals, for example, 2042838 + ... + 2049066.

Almost surely, 212744235008 is an apocalyptic number.

12744235008 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 12744235008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19389006000).

12744235008 is an abundant number, since it is smaller than the sum of its proper divisors (26033776992).

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

12744235008 is an equidigital number, since it uses as much as digits as its factorization.

12744235008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6297 (or 6271 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 12744235008 its reverse (80053244721), we get a palindrome (92797479729).

The spelling of 12744235008 in words is "twelve billion, seven hundred forty-four million, two hundred thirty-five thousand, eight".