Search a number
-
+
266256541824 = 27372132313773
BaseRepresentation
bin1111011111111000100…
…0000110100010000000
3221110020212122202010220
43313332020012202000
513330243133314244
6322152213423040
725144041156300
oct3677610064200
9843225582126
10266256541824
11a2a11970789
124372893aa80
131c153038300
14cc5b883600
156dd50d7319
hex3dfe206880

266256541824 has 1152 divisors, whose sum is σ = 957395566080. Its totient is φ = 65213890560.

The previous prime is 266256541813. The next prime is 266256541847. The reversal of 266256541824 is 428145652662.

It is a super-2 number, since 2×2662565418242 (a number of 24 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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3647349852 + ... + 3647349924.

It is an arithmetic number, because the mean of its divisors is an integer number (831072540).

Almost surely, 2266256541824 is an apocalyptic number.

266256541824 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 266256541824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478697783040).

266256541824 is an abundant number, since it is smaller than the sum of its proper divisors (691139024256).

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

266256541824 is a wasteful number, since it uses less digits than its factorization.

266256541824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 166 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 51.

The spelling of 266256541824 in words is "two hundred sixty-six billion, two hundred fifty-six million, five hundred forty-one thousand, eight hundred twenty-four".