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12382237808640 = 211345717331379
BaseRepresentation
bin1011010000101111011011…
…1000101101100000000000
31121211201201102221122220000
42310023312320231200000
53110332310334334030
642200153240520000
72415405252536040
oct264136670554000
947751642848800
1012382237808640
113a44306490a07
12147b916480000
136ba842161c0b
1430b436b79720
15167155287860
hexb42f6e2d800

12382237808640 has 1920 divisors, whose sum is σ = 54010064908800. Its totient is φ = 2648687247360.

The previous prime is 12382237808579. The next prime is 12382237808641. The reversal of 12382237808640 is 4680873228321.

12382237808640 is a `hidden beast` number, since 1 + 238 + 223 + 78 + 0 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12382237808641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32670811971 + ... + 32670812349.

It is an arithmetic number, because the mean of its divisors is an integer number (28130242140).

Almost surely, 212382237808640 is an apocalyptic number.

12382237808640 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 12382237808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27005032454400).

12382237808640 is an abundant number, since it is smaller than the sum of its proper divisors (41627827100160).

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

12382237808640 is a wasteful number, since it uses less digits than its factorization.

12382237808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 12382237808640 in words is "twelve trillion, three hundred eighty-two billion, two hundred thirty-seven million, eight hundred eight thousand, six hundred forty".