Search a number
-
+
12777073408 = 281123971039
BaseRepresentation
bin10111110011001001…
…01010101100000000
31012222110022120200001
423321210222230000
5202131412322113
65511505005344
7631425221611
oct137144525400
935873276601
1012777073408
115467363400
122587023854
13128814b188
14892cd9c08
154ebab97dd
hex2f992ab00

12777073408 has 108 divisors (see below), whose sum is σ = 28131244960. Its totient is φ = 5787555840.

The previous prime is 12777073343. The next prime is 12777073411. The reversal of 12777073408 is 80437077721.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12296953 + ... + 12297991.

Almost surely, 212777073408 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 12777073408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065622480).

12777073408 is an abundant number, since it is smaller than the sum of its proper divisors (15354171552).

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

12777073408 is a wasteful number, since it uses less digits than its factorization.

12777073408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 46.

The spelling of 12777073408 in words is "twelve billion, seven hundred seventy-seven million, seventy-three thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 397 484 704 794 968 1039 1408 1588 1936 2078 2816 3176 3872 4156 4367 6352 7744 8312 8734 11429 12704 15488 16624 17468 22858 25408 30976 33248 34936 45716 48037 50816 66496 69872 91432 96074 101632 125719 132992 139744 182864 192148 251438 265984 279488 365728 384296 412483 502876 558976 731456 768592 824966 1005752 1117952 1462912 1537184 1649932 2011504 2925824 3074368 3299864 4023008 4537313 6148736 6599728 8046016 9074626 12297472 13199456 16092032 18149252 26398912 32184064 36298504 49910443 52797824 72597008 99820886 105595648 145194016 199641772 290388032 399283544 580776064 798567088 1161552128 1597134176 3194268352 6388536704 12777073408