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36726240673 is a prime number
BaseRepresentation
bin100010001101000011…
…011111010110100001
310111210111220022222001
4202031003133112201
51100203404200143
624512150444001
72440052615653
oct421503372641
9114714808861
1036726240673
1114637007221
12714b663601
133603a5a075
141ac58a26d3
15e4e3b914d
hex88d0df5a1

36726240673 has 2 divisors, whose sum is σ = 36726240674. Its totient is φ = 36726240672.

The previous prime is 36726240653. The next prime is 36726240721. The reversal of 36726240673 is 37604262763.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35482126689 + 1244113984 = 188367^2 + 35272^2 .

It is a cyclic number.

It is not a de Polignac number, because 36726240673 - 213 = 36726232481 is a prime.

It is a super-2 number, since 2×367262406732 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (36726240623) 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, 18363120336 + 18363120337.

It is an arithmetic number, because the mean of its divisors is an integer number (18363120337).

Almost surely, 236726240673 is an apocalyptic number.

It is an amenable number.

36726240673 is a deficient number, since it is larger than the sum of its proper divisors (1).

36726240673 is an equidigital number, since it uses as much as digits as its factorization.

36726240673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1524096, while the sum is 46.

The spelling of 36726240673 in words is "thirty-six billion, seven hundred twenty-six million, two hundred forty thousand, six hundred seventy-three".