Search a number
-
+
12744428544 = 2103551217
BaseRepresentation
bin10111101111010000…
…01000110000000000
31012220011220001100000
423313220020300000
5202100033203134
65504341200000
7630550566231
oct136750106000
935804801300
1012744428544
11544a996881
122578100000
13128145b3a3
1488c83d088
154e8cbbe99
hex2f7a08c00

12744428544 has 132 divisors (see below), whose sum is σ = 38162941544. Its totient is φ = 4248059904.

The previous prime is 12744428531. The next prime is 12744428597. The reversal of 12744428544 is 44582444721.

12744428544 is a `hidden beast` number, since 1 + 27 + 44 + 42 + 8 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12744428544.

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 11 ways as a sum of consecutive naturals, for example, 223224 + ... + 274440.

Almost surely, 212744428544 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 12744428544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19081470772).

12744428544 is an abundant number, since it is smaller than the sum of its proper divisors (25418513000).

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

12744428544 is an frugal number, since it uses more digits than its factorization.

12744428544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51252 (or 51222 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 45.

The spelling of 12744428544 in words is "twelve billion, seven hundred forty-four million, four hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2304 2592 3072 3456 3888 4608 5184 6912 7776 9216 10368 13824 15552 20736 27648 31104 41472 51217 62208 82944 102434 124416 153651 204868 248832 307302 409736 460953 614604 819472 921906 1229208 1382859 1638944 1843812 2458416 2765718 3277888 3687624 4148577 4916832 5531436 6555776 7375248 8297154 9833664 11062872 12445731 13111552 14750496 16594308 19667328 22125744 24891462 26223104 29500992 33188616 39334656 44251488 49782924 52446208 59001984 66377232 78669312 88502976 99565848 118003968 132754464 157338624 177005952 199131696 236007936 265508928 354011904 398263392 472015872 531017856 708023808 796526784 1062035712 1416047616 1593053568 2124071424 3186107136 4248142848 6372214272 12744428544