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13845054761 is a prime number
BaseRepresentation
bin11001110010011101…
…01100010100101001
31022201212220122122222
430321032230110221
5211323313223021
610205455323425
71000044011066
oct147116542451
938655818588
1013845054761
11596519961a
122824820575
1313c849b0c5
14954aa1c6d
155607286ab
hex3393ac529

13845054761 has 2 divisors, whose sum is σ = 13845054762. Its totient is φ = 13845054760.

The previous prime is 13845054697. The next prime is 13845054763. The reversal of 13845054761 is 16745054831.

13845054761 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., 12714817600 + 1130237161 = 112760^2 + 33619^2 .

It is a cyclic number.

It is not a de Polignac number, because 13845054761 - 26 = 13845054697 is a prime.

Together with 13845054763, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13845054763) 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, 6922527380 + 6922527381.

It is an arithmetic number, because the mean of its divisors is an integer number (6922527381).

Almost surely, 213845054761 is an apocalyptic number.

It is an amenable number.

13845054761 is a deficient number, since it is larger than the sum of its proper divisors (1).

13845054761 is an equidigital number, since it uses as much as digits as its factorization.

13845054761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 13845054761 in words is "thirteen billion, eight hundred forty-five million, fifty-four thousand, seven hundred sixty-one".