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36661217252393 is a prime number
BaseRepresentation
bin10000101010111110110101…
…10101001101010000101001
311210210210000021010222222202
420111133122311031100221
514301124133104034033
6205545533010425545
710502454065665046
oct1025373265152051
9153723007128882
1036661217252393
1110754a31423878
1241412335922b5
13175c1a410b7c6
1490a5ab8141cd
154389981298e8
hex2157dad4d429

36661217252393 has 2 divisors, whose sum is σ = 36661217252394. Its totient is φ = 36661217252392.

The previous prime is 36661217252369. The next prime is 36661217252557. The reversal of 36661217252393 is 39325271216663.

36661217252393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30740404626409 + 5920812625984 = 5544403^2 + 2433272^2 .

It is a cyclic number.

It is not a de Polignac number, because 36661217252393 - 228 = 36660948816937 is a prime.

It is not a weakly prime, because it can be changed into another prime (36661219252393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18330608626196 + 18330608626197.

It is an arithmetic number, because the mean of its divisors is an integer number (18330608626197).

Almost surely, 236661217252393 is an apocalyptic number.

It is an amenable number.

36661217252393 is a deficient number, since it is larger than the sum of its proper divisors (1).

36661217252393 is an equidigital number, since it uses as much as digits as its factorization.

36661217252393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14696640, while the sum is 56.

The spelling of 36661217252393 in words is "thirty-six trillion, six hundred sixty-one billion, two hundred seventeen million, two hundred fifty-two thousand, three hundred ninety-three".