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12384965376 = 283275314489
BaseRepresentation
bin10111000100011001…
…11001001100000000
31011222010111102120100
423202030321030000
5200331022343001
65404540442400
7615624316530
oct134214711400
934863442510
1012384965376
115285a98883
122497849400
131224b40aa4
14856bcb4c0
154c7464586
hex2e2339300

12384965376 has 216 divisors, whose sum is σ = 41583054240. Its totient is φ = 3471556608.

The previous prime is 12384965371. The next prime is 12384965381. The reversal of 12384965376 is 67356948321.

12384965376 is a `hidden beast` number, since 1 + 2 + 38 + 496 + 53 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (12384965371) and next prime (12384965381).

It is not an unprimeable number, because it can be changed into a prime (12384965371) 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 23 ways as a sum of consecutive naturals, for example, 847540 + ... + 862028.

It is an arithmetic number, because the mean of its divisors is an integer number (192514140).

Almost surely, 212384965376 is an apocalyptic number.

12384965376 is a gapful number since it is divisible by the number (16) 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 12384965376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20791527120).

12384965376 is an abundant number, since it is smaller than the sum of its proper divisors (29198088864).

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

12384965376 is a wasteful number, since it uses less digits than its factorization.

12384965376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14571 (or 14554 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

It can be divided in two parts, 123849 and 65376, that added together give a square (189225 = 4352).

The spelling of 12384965376 in words is "twelve billion, three hundred eighty-four million, nine hundred sixty-five thousand, three hundred seventy-six".