Search a number
-
+
263220443414016 = 2931141907418933
BaseRepresentation
bin111011110110010111001001…
…000001101111111000000000
31021111222121222021110120102020
4323312113021001233320000
5234000100432003222031
62331453445150521440
7106305022652650434
oct7366271101577000
91244877867416366
10263220443414016
1176963188189910
1225631a75b06280
13b3b47731960ca
1448ddd1a4829c4
152066e7b463096
hexef65c906fe00

263220443414016 has 320 divisors, whose sum is σ = 784508436746496. Its totient is φ = 77732329881600.

The previous prime is 263220443413909. The next prime is 263220443414041. The reversal of 263220443414016 is 610414344022362.

263220443414016 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628102086 + ... + 628521018.

Almost surely, 2263220443414016 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 263220443414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392254218373248).

263220443414016 is an abundant number, since it is smaller than the sum of its proper divisors (521287993332480).

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

263220443414016 is a wasteful number, since it uses less digits than its factorization.

263220443414016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419913 (or 419897 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

Adding to 263220443414016 its reverse (610414344022362), we get a palindrome (873634787436378).

The spelling of 263220443414016 in words is "two hundred sixty-three trillion, two hundred twenty billion, four hundred forty-three million, four hundred fourteen thousand, sixteen".