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36135961849 = 1311328187541
BaseRepresentation
bin100001101001110111…
…110000010011111001
310110021101012001122101
4201221313300103321
51043001301234344
624333423023401
72416324415311
oct415167602371
9113241161571
1036135961849
1114363898a89
127005a3ab61
13353b686160
141a6b32a441
15e1766b9d4
hex869df04f9

36135961849 has 16 divisors (see below), whose sum is σ = 39400203024. Its totient is φ = 32943052800.

The previous prime is 36135961831. The next prime is 36135961931. The reversal of 36135961849 is 94816953163.

It can be written as a sum of positive squares in 8 ways, for example, as 7128762624 + 29007199225 = 84432^2 + 170315^2 .

It is a cyclic number.

It is not a de Polignac number, because 36135961849 - 25 = 36135961817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36135961849.

It is not an unprimeable number, because it can be changed into a prime (36135964849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369019 + ... + 456559.

It is an arithmetic number, because the mean of its divisors is an integer number (2462512689).

Almost surely, 236135961849 is an apocalyptic number.

It is an amenable number.

36135961849 is a deficient number, since it is larger than the sum of its proper divisors (3264241175).

36135961849 is a wasteful number, since it uses less digits than its factorization.

36135961849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87948.

The product of its digits is 4199040, while the sum is 55.

The spelling of 36135961849 in words is "thirty-six billion, one hundred thirty-five million, nine hundred sixty-one thousand, eight hundred forty-nine".

Divisors: 1 13 113 281 1469 3653 31753 87541 412789 1138033 9892133 24599021 128597729 319787273 2779689373 36135961849