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13536728746 = 261893312421
BaseRepresentation
bin11001001101101101…
…00001011010101010
31021221101202001212221
430212312201122222
5210210400304441
610115123024254
7656311203322
oct144666413252
937841661787
1013536728746
115817148732
12275950b08a
131379646688
14925b62282
155436228d1
hex326da16aa

13536728746 has 16 divisors (see below), whose sum is σ = 20641935528. Its totient is φ = 6656126400.

The previous prime is 13536728719. The next prime is 13536728761. The reversal of 13536728746 is 64782763531.

13536728746 is digitally balanced in base 2, because in such base 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 10198778121 + 3337950625 = 100989^2 + 57775^2 .

It is a super-3 number, since 3×135367287463 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13536728693 and 13536728702.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1083616 + ... + 1096036.

Almost surely, 213536728746 is an apocalyptic number.

13536728746 is a deficient number, since it is larger than the sum of its proper divisors (7105206782).

13536728746 is a wasteful number, since it uses less digits than its factorization.

13536728746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21417.

The product of its digits is 5080320, while the sum is 52.

The spelling of 13536728746 in words is "thirteen billion, five hundred thirty-six million, seven hundred twenty-eight thousand, seven hundred forty-six".

Divisors: 1 2 61 122 8933 12421 17866 24842 544913 757681 1089826 1515362 110956793 221913586 6768364373 13536728746