Search a number
-
+
27807731456 = 28671998147
BaseRepresentation
bin11001111001011110…
…000100111100000000
32122202222011010021212
4121321132010330000
5423422234401311
620435200105252
72003046550241
oct317136047400
978688133255
1027807731456
111087a81524a
125480905228
13281213c88b
1414bb220cc8
15acb437c8b
hex679784f00

27807731456 has 72 divisors (see below), whose sum is σ = 56625340800. Its totient is φ = 13625846784.

The previous prime is 27807731449. The next prime is 27807731461. The reversal of 27807731456 is 65413770872.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3409175 + ... + 3417321.

Almost surely, 227807731456 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 27807731456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28312670400).

27807731456 is an abundant number, since it is smaller than the sum of its proper divisors (28817609344).

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

27807731456 is an equidigital number, since it uses as much as digits as its factorization.

27807731456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8429 (or 8415 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 50.

The spelling of 27807731456 in words is "twenty-seven billion, eight hundred seven million, seven hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 67 128 134 199 256 268 398 536 796 1072 1592 2144 3184 4288 6368 8147 8576 12736 13333 16294 17152 25472 26666 32588 50944 53332 65176 106664 130352 213328 260704 426656 521408 545849 853312 1042816 1091698 1621253 1706624 2085632 2183396 3242506 3413248 4366792 6485012 8733584 12970024 17467168 25940048 34934336 51880096 69868672 103760192 108623951 139737344 207520384 217247902 415040768 434495804 868991608 1737983216 3475966432 6951932864 13903865728 27807731456