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12444544320 = 2635135916901
BaseRepresentation
bin10111001011100000…
…01010110101000000
31012010021121100111220
423211300022311000
5200441300404240
65414505435040
7620246611215
oct134560126500
935107540456
1012444544320
11530669137a
1224b379ba80
1312342a11c0
14860a99b0c
154cc7d25d0
hex2e5c0ad40

12444544320 has 224 divisors, whose sum is σ = 43274528640. Its totient is φ = 3011174400.

The previous prime is 12444544309. The next prime is 12444544373. The reversal of 12444544320 is 2344544421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727870 + ... + 744770.

It is an arithmetic number, because the mean of its divisors is an integer number (193189860).

Almost surely, 212444544320 is an apocalyptic number.

12444544320 is a gapful number since it is divisible by the number (10) 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 12444544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21637264320).

12444544320 is an abundant number, since it is smaller than the sum of its proper divisors (30829984320).

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

12444544320 is a wasteful number, since it uses less digits than its factorization.

12444544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16993 (or 16983 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The spelling of 12444544320 in words is "twelve billion, four hundred forty-four million, five hundred forty-four thousand, three hundred twenty".