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3213640053 = 321377335533
BaseRepresentation
bin1011111110001100…
…0100000101110101
322021222000211101200
42333203010011311
523040142440203
61250515243113
7142431326661
oct27743040565
98258024350
103213640053
1113aa01a378
127582a9499
133c2a36180
14226b398a1
1513c1e49a3
hexbf8c4175

3213640053 has 24 divisors (see below), whose sum is σ = 5005603512. Its totient is φ = 1975010688.

The previous prime is 3213640037. The next prime is 3213640057. The reversal of 3213640053 is 3500463123.

It is a happy number.

3213640053 is a `hidden beast` number, since 3 + 2 + 13 + 640 + 0 + 5 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 380952324 + 2832687729 = 19518^2 + 53223^2 .

It is not a de Polignac number, because 3213640053 - 24 = 3213640037 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3213639999 and 3213640026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213640057) 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 23 ways as a sum of consecutive naturals, for example, 72675 + ... + 108207.

It is an arithmetic number, because the mean of its divisors is an integer number (208566813).

Almost surely, 23213640053 is an apocalyptic number.

It is an amenable number.

3213640053 is a deficient number, since it is larger than the sum of its proper divisors (1791963459).

3213640053 is a wasteful number, since it uses less digits than its factorization.

3213640053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36325 (or 36322 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3213640053 is about 56688.9764680930. The cubic root of 3213640053 is about 1475.7033976141.

The spelling of 3213640053 in words is "three billion, two hundred thirteen million, six hundred forty thousand, fifty-three".

Divisors: 1 3 9 13 39 117 773 2319 6957 10049 30147 35533 90441 106599 319797 461929 1385787 4157361 27467009 82401027 247203081 357071117 1071213351 3213640053