Search a number
-
+
2720281140720 = 24335112132273527
BaseRepresentation
bin100111100101011101011…
…001000001110111110000
3100122001112001212221112000
4213211131121001313300
5324032113433000340
65441402505334000
7400351050116523
oct47453531016760
910561461787460
102720281140720
11959734871700
1237b260797300
131696a17028a0
149593b540bba
154ab62836d30
hex2795d641df0

2720281140720 has 960 divisors, whose sum is σ = 11143356779520. Its totient is φ = 605880760320.

The previous prime is 2720281140697. The next prime is 2720281140749. The reversal of 2720281140720 is 270411820272.

2720281140720 is a `hidden beast` number, since 27 + 202 + 8 + 1 + 1 + 407 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 771271597 + ... + 771275123.

It is an arithmetic number, because the mean of its divisors is an integer number (11607663312).

Almost surely, 22720281140720 is an apocalyptic number.

2720281140720 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 2720281140720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571678389760).

2720281140720 is an abundant number, since it is smaller than the sum of its proper divisors (8423075638800).

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

2720281140720 is a wasteful number, since it uses less digits than its factorization.

2720281140720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

Adding to 2720281140720 its reverse (270411820272), we get a palindrome (2990692960992).

The spelling of 2720281140720 in words is "two trillion, seven hundred twenty billion, two hundred eighty-one million, one hundred forty thousand, seven hundred twenty".