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12431667384 = 23321789139821
BaseRepresentation
bin10111001001111110…
…00011000010111000
31012002101101010200100
423210333003002320
5200430001324014
65413325435400
7620032300143
oct134477030270
935071333610
1012431667384
1152aa396784
1224ab40bb60
131231713006
1485d0a705a
154cb5dc009
hex2e4fc30b8

12431667384 has 192 divisors, whose sum is σ = 36353772000. Its totient is φ = 3823902720.

The previous prime is 12431667379. The next prime is 12431667403. The reversal of 12431667384 is 48376613421.

12431667384 is a `hidden beast` number, since 12 + 431 + 66 + 73 + 84 = 666.

12431667384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 15141694 + ... + 15142514.

Almost surely, 212431667384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12431667384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18176886000).

12431667384 is an abundant number, since it is smaller than the sum of its proper divisors (23922104616).

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

12431667384 is a wasteful number, since it uses less digits than its factorization.

12431667384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1071 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 12431667384 in words is "twelve billion, four hundred thirty-one million, six hundred sixty-seven thousand, three hundred eighty-four".