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12382748280 = 233257232953139
BaseRepresentation
bin10111000100001000…
…11011111001111000
31011221222022210021200
423202010123321320
5200324440421110
65404421134200
7615566423640
oct134204337170
934858283250
1012382748280
115284814071
122496b5a360
1312245458b6
148567b1520
154c71776c0
hex2e211be78

12382748280 has 768 divisors, whose sum is σ = 50948352000. Its totient is φ = 2546159616.

The previous prime is 12382748249. The next prime is 12382748299. The reversal of 12382748280 is 8284728321.

12382748280 is a `hidden beast` number, since 12 + 3 + 82 + 7 + 482 + 80 = 666.

12382748280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89084451 + ... + 89084589.

It is an arithmetic number, because the mean of its divisors is an integer number (66339000).

Almost surely, 212382748280 is an apocalyptic number.

12382748280 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 12382748280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25474176000).

12382748280 is an abundant number, since it is smaller than the sum of its proper divisors (38565603720).

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

12382748280 is a wasteful number, since it uses less digits than its factorization.

12382748280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 12382748280 in words is "twelve billion, three hundred eighty-two million, seven hundred forty-eight thousand, two hundred eighty".