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12725421248 = 263741131071
BaseRepresentation
bin10111101100111111…
…01000010011000000
31012211212010101020002
423312133220103000
5202030201434443
65502421535132
7630230203331
oct136637502300
935755111202
1012725421248
115440194371
1225718744a8
13127a534a77
1488a0d2288
154e72b52b8
hex2f67e84c0

12725421248 has 56 divisors (see below), whose sum is σ = 26567245824. Its totient is φ = 6039705600.

The previous prime is 12725421223. The next prime is 12725421257. The reversal of 12725421248 is 84212452721.

It is a happy number.

12725421248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 31553 + ... + 162623.

It is an arithmetic number, because the mean of its divisors is an integer number (474415104).

Almost surely, 212725421248 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 12725421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13283622912).

12725421248 is an abundant number, since it is smaller than the sum of its proper divisors (13841824576).

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

12725421248 is a wasteful number, since it uses less digits than its factorization.

12725421248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131161 (or 131151 counting only the distinct ones).

The product of its digits is 71680, while the sum is 38.

Adding to 12725421248 its reverse (84212452721), we get a palindrome (96937873969).

The spelling of 12725421248 in words is "twelve billion, seven hundred twenty-five million, four hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 148 164 296 328 592 656 1184 1312 1517 2368 2624 3034 6068 12136 24272 48544 97088 131071 262142 524284 1048568 2097136 4194272 4849627 5373911 8388544 9699254 10747822 19398508 21495644 38797016 42991288 77594032 85982576 155188064 171965152 198834707 310376128 343930304 397669414 795338828 1590677656 3181355312 6362710624 12725421248