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12438219528 = 23327314119417
BaseRepresentation
bin10111001010110000…
…00010101100001000
31012002211201000112100
423211120002230020
5200433141011103
65414122113400
7620142056460
oct134530025410
935084630470
1012438219528
115303061479
1224b164b860
131232b98417
1485dcd0ba0
154cbe835a3
hex2e5602b08

12438219528 has 192 divisors, whose sum is σ = 40712555520. Its totient is φ = 3355084800.

The previous prime is 12438219523. The next prime is 12438219529. The reversal of 12438219528 is 82591283421.

12438219528 is a `hidden beast` number, since 1 + 2 + 43 + 82 + 1 + 9 + 528 = 666.

It is not an unprimeable number, because it can be changed into a prime (12438219523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 630876 + ... + 650292.

It is an arithmetic number, because the mean of its divisors is an integer number (212044560).

Almost surely, 212438219528 is an apocalyptic number.

12438219528 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 12438219528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20356277760).

12438219528 is an abundant number, since it is smaller than the sum of its proper divisors (28274335992).

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

12438219528 is a wasteful number, since it uses less digits than its factorization.

12438219528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19508 (or 19501 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 12438219528 in words is "twelve billion, four hundred thirty-eight million, two hundred nineteen thousand, five hundred twenty-eight".