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36402123016093 is a prime number
BaseRepresentation
bin10000100011011100001111…
…00111001000011110011101
311202220000020112122001221211
420101232013213020132131
514232403021443003333
6205230523210024421
710444652354215612
oct1021560747103635
9152800215561854
1036402123016093
111066506549425a
1240bab85418111
131740922bc6403
148dbc2d29a509
15431d81c1becd
hex211b879c879d

36402123016093 has 2 divisors, whose sum is σ = 36402123016094. Its totient is φ = 36402123016092.

The previous prime is 36402123016073. The next prime is 36402123016097. The reversal of 36402123016093 is 39061032120463.

36402123016093 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., 22185399979044 + 14216723037049 = 4710138^2 + 3770507^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36402123016093 is a prime.

It is a super-2 number, since 2×364021230160932 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36402123016097) 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, 18201061508046 + 18201061508047.

It is an arithmetic number, because the mean of its divisors is an integer number (18201061508047).

Almost surely, 236402123016093 is an apocalyptic number.

It is an amenable number.

36402123016093 is a deficient number, since it is larger than the sum of its proper divisors (1).

36402123016093 is an equidigital number, since it uses as much as digits as its factorization.

36402123016093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 40.

The spelling of 36402123016093 in words is "thirty-six trillion, four hundred two billion, one hundred twenty-three million, sixteen thousand, ninety-three".