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13807400074081 is a prime number
BaseRepresentation
bin1100100011101100100100…
…1011010011101101100001
31210212222022110011222111221
43020323021023103231201
53302210023404332311
645211010530135041
72623360150113415
oct310731113235541
953788273158457
1013807400074081
11444375a424699
12166bb72421481
13792055aa6c43
1435a3d30cad45
1518e26746d671
hexc8ec92d3b61

13807400074081 has 2 divisors, whose sum is σ = 13807400074082. Its totient is φ = 13807400074080.

The previous prime is 13807400074063. The next prime is 13807400074157. The reversal of 13807400074081 is 18047000470831.

13807400074081 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., 12307754914081 + 1499645160000 = 3508241^2 + 1224600^2 .

It is a cyclic number.

It is not a de Polignac number, because 13807400074081 - 215 = 13807400041313 is a prime.

It is a super-2 number, since 2×138074000740812 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13807400074031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6903700037040 + 6903700037041.

It is an arithmetic number, because the mean of its divisors is an integer number (6903700037041).

Almost surely, 213807400074081 is an apocalyptic number.

It is an amenable number.

13807400074081 is a deficient number, since it is larger than the sum of its proper divisors (1).

13807400074081 is an equidigital number, since it uses as much as digits as its factorization.

13807400074081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 150528, while the sum is 43.

The spelling of 13807400074081 in words is "thirteen trillion, eight hundred seven billion, four hundred million, seventy-four thousand, eighty-one".