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2971331793 = 322970916057
BaseRepresentation
bin1011000100011010…
…1110110011010001
321200002002021221200
42301012232303101
522041130104133
61210501541413
7133426621623
oct26106566321
97602067850
102971331793
11129526a611
126ab114869
133847877c1
142028a2c13
15125cce913
hexb11aecd1

2971331793 has 24 divisors (see below), whose sum is σ = 4446460200. Its totient is φ = 1909764864.

The previous prime is 2971331789. The next prime is 2971331807. The reversal of 2971331793 is 3971331792.

It is a happy number.

2971331793 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 92794689 + 2878537104 = 9633^2 + 53652^2 .

It is not a de Polignac number, because 2971331793 - 22 = 2971331789 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2971331393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177021 + ... + 193077.

It is an arithmetic number, because the mean of its divisors is an integer number (185269175).

Almost surely, 22971331793 is an apocalyptic number.

It is an amenable number.

2971331793 is a deficient number, since it is larger than the sum of its proper divisors (1475128407).

2971331793 is a wasteful number, since it uses less digits than its factorization.

2971331793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16801 (or 16798 counting only the distinct ones).

The product of its digits is 214326, while the sum is 45.

The square root of 2971331793 is about 54509.9238029187. The cubic root of 2971331793 is about 1437.6407795383.

Subtracting 2971331793 from its reverse (3971331792), we obtain a palindrome (999999999).

The spelling of 2971331793 in words is "two billion, nine hundred seventy-one million, three hundred thirty-one thousand, seven hundred ninety-three".

Divisors: 1 3 9 29 87 261 709 2127 6381 16057 20561 48171 61683 144513 185049 465653 1396959 4190877 11384413 34153239 102459717 330147977 990443931 2971331793