Search a number
-
+
266556047003136 = 29321121983303151
BaseRepresentation
bin111100100110111001101010…
…011111101000111000000000
31021221210111202020002121011100
4330212321222133220320000
5234414223241013100021
62342530054004014400
7110101016222441442
oct7446715237507000
91257714666077140
10266556047003136
1177a2986a482300
1225a90420991400
13b597186acc9b7
1449b754ac26492
1520c3b03dc2626
hexf26e6a7e8e00

266556047003136 has 720 divisors, whose sum is σ = 900824826021120. Its totient is φ = 75601050624000.

The previous prime is 266556047003027. The next prime is 266556047003143. The reversal of 266556047003136 is 631300740655662.

266556047003136 is a `hidden beast` number, since 2 + 6 + 6 + 5 + 560 + 4 + 70 + 0 + 3 + 1 + 3 + 6 = 666.

266556047003136 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 71 ways as a sum of consecutive naturals, for example, 879133161 + ... + 879436311.

It is an arithmetic number, because the mean of its divisors is an integer number (1251145591696).

Almost surely, 2266556047003136 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 266556047003136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450412413010560).

266556047003136 is an abundant number, since it is smaller than the sum of its proper divisors (634268779017984).

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

266556047003136 is a wasteful number, since it uses less digits than its factorization.

266556047003136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303299 (or 303269 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

Adding to 266556047003136 its reverse (631300740655662), we get a palindrome (897856787658798).

The spelling of 266556047003136 in words is "two hundred sixty-six trillion, five hundred fifty-six billion, forty-seven million, three thousand, one hundred thirty-six".