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36868400668769 is a prime number
BaseRepresentation
bin10000110001000000101111…
…11011001110000001100001
311211112120210020022001020112
420120200113323032001201
514313022441032400034
6210225035350221105
710523440223655665
oct1030402773160141
9154476706261215
1036868400668769
111082488a02501a
124175414954795
1317758a17327c7
149166239588a5
1543e0720487ce
hex218817ece061

36868400668769 has 2 divisors, whose sum is σ = 36868400668770. Its totient is φ = 36868400668768.

The previous prime is 36868400668639. The next prime is 36868400668793. The reversal of 36868400668769 is 96786600486863.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35019173290000 + 1849227378769 = 5917700^2 + 1359863^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36868400668769 is a prime.

It is a super-2 number, since 2×368684006687692 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36868400668769.

It is not a weakly prime, because it can be changed into another prime (36868400668469) 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 as a sum of consecutive naturals, namely, 18434200334384 + 18434200334385.

It is an arithmetic number, because the mean of its divisors is an integer number (18434200334385).

Almost surely, 236868400668769 is an apocalyptic number.

It is an amenable number.

36868400668769 is a deficient number, since it is larger than the sum of its proper divisors (1).

36868400668769 is an equidigital number, since it uses as much as digits as its factorization.

36868400668769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3009871872, while the sum is 77.

The spelling of 36868400668769 in words is "thirty-six trillion, eight hundred sixty-eight billion, four hundred million, six hundred sixty-eight thousand, seven hundred sixty-nine".