Search a number
-
+
266050646481024 = 27324313173355933
BaseRepresentation
bin111100011111100010111110…
…010001101001100010000000
31021220000012012222211221022100
4330133202332101221202000
5234332433210444343044
62341501551340510400
7110016345016046466
oct7437427621514200
91256005188757270
10266050646481024
117785449a015699
1225a0a49324b400
13b55b611b5b212
14499acc4682836
1520b58c40be869
hexf1f8be469880

266050646481024 has 384 divisors, whose sum is σ = 790463968557120. Its totient is φ = 85841104527360.

The previous prime is 266050646481001. The next prime is 266050646481041. The reversal of 266050646481024 is 420184646050662.

266050646481024 is a `hidden beast` number, since 2 + 6 + 60 + 506 + 4 + 6 + 48 + 10 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×2660506464810243 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4756567362 + ... + 4756623294.

Almost surely, 2266050646481024 is an apocalyptic number.

266050646481024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266050646481024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395231984278560).

266050646481024 is an abundant number, since it is smaller than the sum of its proper divisors (524413322076096).

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

266050646481024 is a wasteful number, since it uses less digits than its factorization.

266050646481024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56860 (or 56845 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 266050646481024 in words is "two hundred sixty-six trillion, fifty billion, six hundred forty-six million, four hundred eighty-one thousand, twenty-four".