Search a number
-
+
12489589728 = 25327111095167
BaseRepresentation
bin10111010000111000…
…00000001111100000
31012020102100220012100
423220130000033200
5201034313332403
65423155130400
7621334522020
oct135034001740
935212326170
1012489589728
11532a058690
1225068a3a00
1312407133a5
14866a63a80
154d172e2a3
hex2e87003e0

12489589728 has 288 divisors, whose sum is σ = 44696171520. Its totient is φ = 3213665280.

The previous prime is 12489589687. The next prime is 12489589747. The reversal of 12489589728 is 82798598421.

12489589728 is a `hidden beast` number, since 1 + 2 + 48 + 9 + 589 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×124895897282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2414601 + ... + 2419767.

It is an arithmetic number, because the mean of its divisors is an integer number (155195040).

Almost surely, 212489589728 is an apocalyptic number.

12489589728 is a gapful number since it is divisible by the number (18) 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 12489589728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22348085760).

12489589728 is an abundant number, since it is smaller than the sum of its proper divisors (32206581792).

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

12489589728 is a wasteful number, since it uses less digits than its factorization.

12489589728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310 (or 5299 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 12489589728 in words is "twelve billion, four hundred eighty-nine million, five hundred eighty-nine thousand, seven hundred twenty-eight".