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36681769 is a prime number
BaseRepresentation
bin1000101111101…
…1100000101001
32120000121221001
42023323200221
533342304034
63350115001
7623534635
oct213734051
976017831
1036681769
1119784613
121034ba61
1377a43b7
144c2bdc5
153348a14
hex22fb829

36681769 has 2 divisors, whose sum is σ = 36681770. Its totient is φ = 36681768.

The previous prime is 36681737. The next prime is 36681779. The reversal of 36681769 is 96718663.

36681769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20976400 + 15705369 = 4580^2 + 3963^2 .

It is a cyclic number.

It is not a de Polignac number, because 36681769 - 25 = 36681737 is a prime.

It is a super-2 number, since 2×366817692 = 2691104353938722, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (36681719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18340884 + 18340885.

It is an arithmetic number, because the mean of its divisors is an integer number (18340885).

Almost surely, 236681769 is an apocalyptic number.

It is an amenable number.

36681769 is a deficient number, since it is larger than the sum of its proper divisors (1).

36681769 is an equidigital number, since it uses as much as digits as its factorization.

36681769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 326592, while the sum is 46.

The square root of 36681769 is about 6056.5476139464. The cubic root of 36681769 is about 332.2641031297.

The spelling of 36681769 in words is "thirty-six million, six hundred eighty-one thousand, seven hundred sixty-nine".