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12443848704 = 2123272832
BaseRepresentation
bin10111001011011011…
…00001000000000000
31012010020022000022100
423211231201000000
5200441111124304
65414442510400
7620240653200
oct134555410000
935106260270
1012443848704
115306256791
1224b3505400
1312340b96b1
14860958400
154cc6e6439
hex2e5b61000

12443848704 has 351 divisors, whose sum is σ = 42322839663. Its totient is φ = 3512549376.

The previous prime is 12443848693. The next prime is 12443848709. The reversal of 12443848704 is 40784834421.

The square root of 12443848704 is 111552.

It is a perfect power (a square), and thus also a powerful number.

12443848704 is a `hidden beast` number, since 124 + 43 + 8 + 487 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12443848704.

It is not an unprimeable number, because it can be changed into a prime (12443848709) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 149925847 + ... + 149925929.

Almost surely, 212443848704 is an apocalyptic number.

12443848704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12443848704 is the 111552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12443848704

12443848704 is an abundant number, since it is smaller than the sum of its proper divisors (29878990959).

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

12443848704 is an frugal number, since it uses more digits than its factorization.

12443848704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 12443848704 in words is "twelve billion, four hundred forty-three million, eight hundred forty-eight thousand, seven hundred four".