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11071664361 = 331033981181
BaseRepresentation
bin10100100111110110…
…00011000011101001
31001120121021211021000
422103323003003221
5140133321224421
65030344105213
7541236410562
oct122373030351
931517254230
1011071664361
11477173633a
12218ba65209
131075a298b4
14770607169
1544bee8226
hex293ec30e9

11071664361 has 16 divisors (see below), whose sum is σ = 16561717120. Its totient is φ = 7309446480.

The previous prime is 11071664257. The next prime is 11071664371. The reversal of 11071664361 is 16346617011.

11071664361 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 1 + 6 + 643 + 6 + 1 = 666.

11071664361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11071664361 - 221 = 11069567209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11071664371) 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 in 15 ways as a sum of consecutive naturals, for example, 1987810 + ... + 1993371.

It is an arithmetic number, because the mean of its divisors is an integer number (1035107320).

Almost surely, 211071664361 is an apocalyptic number.

It is an amenable number.

11071664361 is a deficient number, since it is larger than the sum of its proper divisors (5490052759).

11071664361 is a wasteful number, since it uses less digits than its factorization.

11071664361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981293 (or 3981287 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11071664361 in words is "eleven billion, seventy-one million, six hundred sixty-four thousand, three hundred sixty-one".

Divisors: 1 3 9 27 103 309 927 2781 3981181 11943543 35830629 107491887 410061643 1230184929 3690554787 11071664361