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12444929472 = 263195967863
BaseRepresentation
bin10111001011100011…
…01000110111000000
31012010022022220211210
423211301220313000
5200441400220342
65414522010120
7620253104133
oct134561506700
935108286753
1012444929472
115306924788
1224b3946940
1312343a75c1
14860b5a21a
154cc85b79c
hex2e5c68dc0

12444929472 has 224 divisors, whose sum is σ = 35815219200. Its totient is φ = 3801295872.

The previous prime is 12444929467. The next prime is 12444929473. The reversal of 12444929472 is 27492944421.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444929473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14420113 + ... + 14420975.

Almost surely, 212444929472 is an apocalyptic number.

12444929472 is a gapful number since it is divisible by the number (12) 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 12444929472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17907609600).

12444929472 is an abundant number, since it is smaller than the sum of its proper divisors (23370289728).

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

12444929472 is a wasteful number, since it uses less digits than its factorization.

12444929472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1013 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The spelling of 12444929472 in words is "twelve billion, four hundred forty-four million, nine hundred twenty-nine thousand, four hundred seventy-two".