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2051332461 = 326119332
BaseRepresentation
bin111101001000100…
…1101100101101101
312021221221111010100
41322101031211231
513200120114321
6535315101313
7101556016053
oct17221154555
95257844110
102051332461
11962a18492
12492ba1839
13268cab0b9
1415661c1d3
15c0152326
hex7a44d96d

2051332461 has 18 divisors (see below), whose sum is σ = 3013168938. Its totient is φ = 1344440160.

The previous prime is 2051332457. The next prime is 2051332463. The reversal of 2051332461 is 1642331502.

It can be written as a sum of positive squares in 3 ways, for example, as 152028900 + 1899303561 = 12330^2 + 43581^2 .

It is not a de Polignac number, because 2051332461 - 22 = 2051332457 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051332463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1060251 + ... + 1062183.

Almost surely, 22051332461 is an apocalyptic number.

It is an amenable number.

2051332461 is a deficient number, since it is larger than the sum of its proper divisors (961836477).

2051332461 is an frugal number, since it uses more digits than its factorization.

2051332461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2051332461 is about 45291.6378705827. The cubic root of 2051332461 is about 1270.6092641600.

Adding to 2051332461 its reverse (1642331502), we get a palindrome (3693663963).

The spelling of 2051332461 in words is "two billion, fifty-one million, three hundred thirty-two thousand, four hundred sixty-one".

Divisors: 1 3 9 61 183 549 1933 5799 17397 117913 353739 1061217 3736489 11209467 33628401 227925829 683777487 2051332461