Search a number
-
+
12060026448 = 2432344324659
BaseRepresentation
bin10110011101101010…
…10110011001010000
31011010111001211011020
423032311112121100
5144144331321243
65312412115440
7604600350651
oct131665263120
934114054136
1012060026448
115129630408
122406a65b80
1311a2720832
148259a5528
154a8b7b283
hex2ced56650

12060026448 has 80 divisors (see below), whose sum is σ = 32584343040. Its totient is φ = 3836390272.

The previous prime is 12060026431. The next prime is 12060026453. The reversal of 12060026448 is 84462006021.

12060026448 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 15 ways as a sum of consecutive naturals, for example, 476743 + ... + 501401.

It is an arithmetic number, because the mean of its divisors is an integer number (407304288).

Almost surely, 212060026448 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 12060026448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16292171520).

12060026448 is an abundant number, since it is smaller than the sum of its proper divisors (20524316592).

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

12060026448 is a wasteful number, since it uses less digits than its factorization.

12060026448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25136 (or 25130 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 12060026448 in words is "twelve billion, sixty million, twenty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 443 552 886 1104 1329 1772 2658 3544 5316 7088 10189 10632 20378 21264 24659 30567 40756 49318 61134 73977 81512 98636 122268 147954 163024 197272 244536 295908 394544 489072 567157 591816 1134314 1183632 1701471 2268628 3402942 4537256 6805884 9074512 10923937 13611768 21847874 27223536 32771811 43695748 65543622 87391496 131087244 174782992 251250551 262174488 502501102 524348976 753751653 1005002204 1507503306 2010004408 3015006612 4020008816 6030013224 12060026448