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13478783777 is a prime number
BaseRepresentation
bin11001000110110010…
…11110101100100001
31021210100201011022222
430203121132230201
5210101032040102
610105253040425
7655005525464
oct144331365441
937710634288
1013478783777
115797470828
122742026115
13136a638c04
1491c19b2db
1553d4c8aa2
hex32365eb21

13478783777 has 2 divisors, whose sum is σ = 13478783778. Its totient is φ = 13478783776.

The previous prime is 13478783753. The next prime is 13478783779. The reversal of 13478783777 is 77738787431.

13478783777 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., 10324388881 + 3154394896 = 101609^2 + 56164^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13478783777 is a prime.

It is a super-2 number, since 2×134787837772 (a number of 21 digits) contains 22 as substring.

Together with 13478783779, 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 (13478783779) 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, 6739391888 + 6739391889.

It is an arithmetic number, because the mean of its divisors is an integer number (6739391889).

Almost surely, 213478783777 is an apocalyptic number.

It is an amenable number.

13478783777 is a deficient number, since it is larger than the sum of its proper divisors (1).

13478783777 is an equidigital number, since it uses as much as digits as its factorization.

13478783777 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 38723328, while the sum is 62.

The spelling of 13478783777 in words is "thirteen billion, four hundred seventy-eight million, seven hundred eighty-three thousand, seven hundred seventy-seven".