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10753683813 = 323413350089
BaseRepresentation
bin10100000001111100…
…00011000101100101
31000202102221201221200
422000332003011211
5134010420340223
64535024433113
7530325542565
oct120076030545
930672851850
1010753683813
1146191a08a4
122101478799
131024ba4922
147402b2da5
1542e136a43
hex280f83165

10753683813 has 12 divisors (see below), whose sum is σ = 15537694380. Its totient is φ = 7167001536.

The previous prime is 10753683797. The next prime is 10753683823. The reversal of 10753683813 is 31838635701.

10753683813 is a `hidden beast` number, since 107 + 536 + 8 + 3 + 8 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9694962369 + 1058721444 = 98463^2 + 32538^2 .

It is not a de Polignac number, because 10753683813 - 24 = 10753683797 is a prime.

It is a super-3 number, since 3×107536838133 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10753683823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144328 + ... + 205761.

It is an arithmetic number, because the mean of its divisors is an integer number (1294807865).

Almost surely, 210753683813 is an apocalyptic number.

It is an amenable number.

10753683813 is a deficient number, since it is larger than the sum of its proper divisors (4784010567).

10753683813 is a wasteful number, since it uses less digits than its factorization.

10753683813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353508 (or 353505 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10753683813 in words is "ten billion, seven hundred fifty-three million, six hundred eighty-three thousand, eight hundred thirteen".

Divisors: 1 3 9 3413 10239 30717 350089 1050267 3150801 1194853757 3584561271 10753683813