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12543330400 = 255217390631
BaseRepresentation
bin10111010111010010…
…00000100001100000
31012101011111012112121
423223221000201200
5201142043033100
65432355034024
7622556356246
oct135351004140
935334435477
1012543330400
115357423867
12252089b914
13124b8ab2c3
1486dc52796
154d62e751a
hex2eba40860

12543330400 has 72 divisors (see below), whose sum is σ = 30798747504. Its totient is φ = 4988275200.

The previous prime is 12543330379. The next prime is 12543330407. The reversal of 12543330400 is 403334521.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12543330407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 93085 + ... + 183715.

It is an arithmetic number, because the mean of its divisors is an integer number (427760382).

Almost surely, 212543330400 is an apocalyptic number.

12543330400 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 12543330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15399373752).

12543330400 is an abundant number, since it is smaller than the sum of its proper divisors (18255417104).

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

12543330400 is a wasteful number, since it uses less digits than its factorization.

12543330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90824 (or 90811 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 12543330400 its reverse (403334521), we get a palindrome (12946664921).

The spelling of 12543330400 in words is "twelve billion, five hundred forty-three million, three hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 173 200 346 400 692 800 865 1384 1730 2768 3460 4325 5536 6920 8650 13840 17300 27680 34600 69200 90631 138400 181262 362524 453155 725048 906310 1450096 1812620 2265775 2900192 3625240 4531550 7250480 9063100 14500960 15679163 18126200 31358326 36252400 62716652 72504800 78395815 125433304 156791630 250866608 313583260 391979075 501733216 627166520 783958150 1254333040 1567916300 2508666080 3135832600 6271665200 12543330400