Search a number
-
+
2096053344 = 2532711313049
BaseRepresentation
bin111110011101111…
…0011110001100000
312102002002112122100
41330323303301200
513243042201334
6543553410400
7102641105460
oct17473636140
95362075570
102096053344
119861929a0
124a5b69a00
13275338668
1415c53dba0
15c4037c99
hex7cef3c60

2096053344 has 288 divisors, whose sum is σ = 7673702400. Its totient is φ = 526694400.

The previous prime is 2096053279. The next prime is 2096053363. The reversal of 2096053344 is 4433506902.

2096053344 is a `hidden beast` number, since 2 + 0 + 9 + 605 + 3 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 2096053299 and 2096053308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685932 + ... + 688980.

It is an arithmetic number, because the mean of its divisors is an integer number (26644800).

Almost surely, 22096053344 is an apocalyptic number.

2096053344 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 2096053344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836851200).

2096053344 is an abundant number, since it is smaller than the sum of its proper divisors (5577649056).

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

2096053344 is a wasteful number, since it uses less digits than its factorization.

2096053344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2096053344 is about 45782.6751511967. The cubic root of 2096053344 is about 1279.7764388203.

The spelling of 2096053344 in words is "two billion, ninety-six million, fifty-three thousand, three hundred forty-four".