Search a number
-
+
266028048000 = 273253111312919
BaseRepresentation
bin1111011111000010000…
…0011101111010000000
3221102122221201001112200
43313300200131322000
513324311140014000
6322113412153200
725135265045451
oct3676040357200
9842587631480
10266028048000
11a2904996a10
1243684308800
131c1178b5770
14cc393a5128
156dc0000500
hex3df081de80

266028048000 has 768 divisors, whose sum is σ = 1122483398400. Its totient is φ = 59526144000.

The previous prime is 266028047993. The next prime is 266028048023. The reversal of 266028048000 is 840820662.

266028048000 is a `hidden beast` number, since 2 + 6 + 602 + 8 + 0 + 48 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20585541 + ... + 20598459.

It is an arithmetic number, because the mean of its divisors is an integer number (1461566925).

Almost surely, 2266028048000 is an apocalyptic number.

266028048000 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 266028048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561241699200).

266028048000 is an abundant number, since it is smaller than the sum of its proper divisors (856455350400).

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

266028048000 is a wasteful number, since it uses less digits than its factorization.

266028048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12978 (or 12953 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 266028048000 its reverse (840820662), we get a palindrome (266868868662).

The spelling of 266028048000 in words is "two hundred sixty-six billion, twenty-eight million, forty-eight thousand".