Search a number
-
+
2741268096 = 27347107353
BaseRepresentation
bin1010001101100100…
…0110111010000000
321002001011211220000
42203121012322000
521103231034341
61132002520000
7124634252160
oct24331067200
97061154800
102741268096
111187413326
12646066000
13348c05538
141c00d65a0
151109d78b6
hexa3646e80

2741268096 has 320 divisors, whose sum is σ = 9437186880. Its totient is φ = 773701632.

The previous prime is 2741268053. The next prime is 2741268107. The reversal of 2741268096 is 6908621472.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7765456 + ... + 7765808.

It is an arithmetic number, because the mean of its divisors is an integer number (29491209).

Almost surely, 22741268096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2741268096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718593440).

2741268096 is an abundant number, since it is smaller than the sum of its proper divisors (6695918784).

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

2741268096 is a wasteful number, since it uses less digits than its factorization.

2741268096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2741268096 is about 52357.1207764522. The cubic root of 2741268096 is about 1399.5352362037.

The spelling of 2741268096 in words is "two billion, seven hundred forty-one million, two hundred sixty-eight thousand, ninety-six".