Search a number
-
+
11214683282432 = 210733710874271
BaseRepresentation
bin1010001100110001111100…
…1101101001110000000000
31110201010001120010101200002
42203030133031221300000
52432220132410014212
635503542051215132
72235143210032040
oct243143715516000
943633046111602
1011214683282432
11363413638a573
1213115928a74a8
1363470378a116
142aab17795720
15146abdc30ac2
hexa331f369c00

11214683282432 has 176 divisors, whose sum is σ = 25726734778368. Its totient is φ = 4786501386240.

The previous prime is 11214683282423. The next prime is 11214683282461. The reversal of 11214683282432 is 23428238641211.

It is a super-2 number, since 2×112146832824322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2625772457 + ... + 2625776727.

Almost surely, 211214683282432 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 11214683282432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12863367389184).

11214683282432 is an abundant number, since it is smaller than the sum of its proper divisors (14512051495936).

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

11214683282432 is a wasteful number, since it uses less digits than its factorization.

11214683282432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 5704 counting only the distinct ones).

The product of its digits is 884736, while the sum is 47.

The spelling of 11214683282432 in words is "eleven trillion, two hundred fourteen billion, six hundred eighty-three million, two hundred eighty-two thousand, four hundred thirty-two".