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13705070077 is a prime number
BaseRepresentation
bin11001100001110001…
…01100010111111101
31022101010111200210001
430300320230113331
5211031444220302
610143535114301
7663424113346
oct146070542775
938333450701
1013705070077
1158a3177aa6
1227a5972991
1313a5497a2a
149402630cd
155532c6787
hex330e2c5fd

13705070077 has 2 divisors, whose sum is σ = 13705070078. Its totient is φ = 13705070076.

The previous prime is 13705070059. The next prime is 13705070083. The reversal of 13705070077 is 77007050731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12942702756 + 762367321 = 113766^2 + 27611^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13705070077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13705070017) 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, 6852535038 + 6852535039.

It is an arithmetic number, because the mean of its divisors is an integer number (6852535039).

Almost surely, 213705070077 is an apocalyptic number.

It is an amenable number.

13705070077 is a deficient number, since it is larger than the sum of its proper divisors (1).

13705070077 is an equidigital number, since it uses as much as digits as its factorization.

13705070077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36015, while the sum is 37.

The spelling of 13705070077 in words is "thirteen billion, seven hundred five million, seventy thousand, seventy-seven".