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12391267680 = 25335111072437
BaseRepresentation
bin10111000101001001…
…11011110101100000
31011222120100121201000
423202210323311200
5200334131031210
65405323512000
7616032015561
oct134244736540
934876317630
1012391267680
1152896028a0
122499988600
13122623956c
1485798c168
154c7cabac0
hex2e293bd60

12391267680 has 384 divisors, whose sum is σ = 47773877760. Its totient is φ = 2974648320.

The previous prime is 12391267673. The next prime is 12391267709. The reversal of 12391267680 is 8676219321.

12391267680 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 63 ways as a sum of consecutive naturals, for example, 5083422 + ... + 5085858.

It is an arithmetic number, because the mean of its divisors is an integer number (124411140).

Almost surely, 212391267680 is an apocalyptic number.

12391267680 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 12391267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23886938880).

12391267680 is an abundant number, since it is smaller than the sum of its proper divisors (35382610080).

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

12391267680 is a wasteful number, since it uses less digits than its factorization.

12391267680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12391267680 in words is "twelve billion, three hundred ninety-one million, two hundred sixty-seven thousand, six hundred eighty".