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36735641741 is a prime number
BaseRepresentation
bin100010001101100111…
…010110100010001101
310111211011120221210202
4202031213112202031
51100213311013431
624513124143245
72440225542221
oct421547264215
9114734527722
1036735641741
11146413483a7
127152837b25
13360599c126
141ac6c2c781
15e501248cb
hex88d9d688d

36735641741 has 2 divisors, whose sum is σ = 36735641742. Its totient is φ = 36735641740.

The previous prime is 36735641693. The next prime is 36735641777. The reversal of 36735641741 is 14714653763.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35002668100 + 1732973641 = 187090^2 + 41629^2 .

It is a cyclic number.

It is not a de Polignac number, because 36735641741 - 214 = 36735625357 is a prime.

It is a super-2 number, since 2×367356417412 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36735641141) 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 as a sum of consecutive naturals, namely, 18367820870 + 18367820871.

It is an arithmetic number, because the mean of its divisors is an integer number (18367820871).

Almost surely, 236735641741 is an apocalyptic number.

It is an amenable number.

36735641741 is a deficient number, since it is larger than the sum of its proper divisors (1).

36735641741 is an equidigital number, since it uses as much as digits as its factorization.

36735641741 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1270080, while the sum is 47.

The spelling of 36735641741 in words is "thirty-six billion, seven hundred thirty-five million, six hundred forty-one thousand, seven hundred forty-one".