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12964463424 = 2634111012251
BaseRepresentation
bin11000001001011111…
…00000001101000000
31020110111220222110000
430010233200031000
5203022400312144
65542241240000
7636162056313
oct140457401500
936414828400
1012964463424
115553113290
122619933000
1312b7c0b943
148adb5897a
1550d282769
hex304be0340

12964463424 has 280 divisors, whose sum is σ = 42358336416. Its totient is φ = 3888000000.

The previous prime is 12964463387. The next prime is 12964463441. The reversal of 12964463424 is 42436446921.

12964463424 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 4 + 4 + 634 + 2 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12964463424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5758299 + ... + 5760549.

Almost surely, 212964463424 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 12964463424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21179168208).

12964463424 is an abundant number, since it is smaller than the sum of its proper divisors (29393872992).

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

12964463424 is a wasteful number, since it uses less digits than its factorization.

12964463424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2368 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 12964463424 in words is "twelve billion, nine hundred sixty-four million, four hundred sixty-three thousand, four hundred twenty-four".