Search a number
-
+
266226238080 = 27345114159193
BaseRepresentation
bin1111011111110001010…
…0100000001010000000
3221110011202122011020000
43313330110200022000
513330212404104310
6322145212120000
725143222454215
oct3677424401200
9843152564200
10266226238080
11a29a6853070
124371a766000
131c149987cba
14cc57835b0c
156dd25ed4c0
hex3dfc520280

266226238080 has 1280 divisors, whose sum is σ = 1086076252800. Its totient is φ = 61577625600.

The previous prime is 266226238027. The next prime is 266226238087. The reversal of 266226238080 is 80832622662.

266226238080 is a `hidden beast` number, since 2 + 6 + 6 + 2 + 262 + 380 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (266226238087) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1379410464 + ... + 1379410656.

Almost surely, 2266226238080 is an apocalyptic number.

266226238080 is a gapful number since it is divisible by the number (20) 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 266226238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543038126400).

266226238080 is an abundant number, since it is smaller than the sum of its proper divisors (819850014720).

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

266226238080 is a wasteful number, since it uses less digits than its factorization.

266226238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 266226238080 in words is "two hundred sixty-six billion, two hundred twenty-six million, two hundred thirty-eight thousand, eighty".