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12442711428 = 22337312412203
BaseRepresentation
bin10111001011010010…
…01011010110000100
31012010011011020021000
423211221023112010
5200440313231203
65414402253300
7620225205420
oct134551132604
935104136230
1012442711428
11530564a294
1224b3057230
131233aabb54
1486073db80
154cc56e4a3
hex2e5a4b584

12442711428 has 192 divisors, whose sum is σ = 38231818240. Its totient is φ = 3424550400.

The previous prime is 12442711409. The next prime is 12442711429. The reversal of 12442711428 is 82411724421.

It is a happy number.

12442711428 is a `hidden beast` number, since 1 + 2 + 442 + 71 + 142 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12442711392 and 12442711401.

It is not an unprimeable number, because it can be changed into a prime (12442711429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5646975 + ... + 5649177.

Almost surely, 212442711428 is an apocalyptic number.

12442711428 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 12442711428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19115909120).

12442711428 is an abundant number, since it is smaller than the sum of its proper divisors (25789106812).

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

12442711428 is a wasteful number, since it uses less digits than its factorization.

12442711428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2487 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The spelling of 12442711428 in words is "twelve billion, four hundred forty-two million, seven hundred eleven thousand, four hundred twenty-eight".