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11116320579 = 3371313134537
BaseRepresentation
bin10100101101001010…
…11001011101000011
31001200201022121002000
422112211121131003
5140231234224304
65035021155043
7542321110620
oct122645313503
931621277060
1011116320579
114794967201
1221a29bba83
1310820638b0
1477650d347
15450db9939
hex296959743

11116320579 has 64 divisors (see below), whose sum is σ = 20424391680. Its totient is φ = 5818625280.

The previous prime is 11116320577. The next prime is 11116320581. The reversal of 11116320579 is 97502361111.

It is a happy number.

11116320579 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 63 + 20 + 579 = 666.

11116320579 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11116320577) and next prime (11116320581).

It is not a de Polignac number, because 11116320579 - 21 = 11116320577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11116320577) 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 63 ways as a sum of consecutive naturals, for example, 304599 + ... + 339135.

It is an arithmetic number, because the mean of its divisors is an integer number (319131120).

Almost surely, 211116320579 is an apocalyptic number.

11116320579 is a deficient number, since it is larger than the sum of its proper divisors (9308071101).

11116320579 is a wasteful number, since it uses less digits than its factorization.

11116320579 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34697 (or 34691 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 11116320579 in words is "eleven billion, one hundred sixteen million, three hundred twenty thousand, five hundred seventy-nine".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 131 189 273 351 393 819 917 1179 1703 2457 2751 3537 5109 8253 11921 15327 24759 34537 35763 45981 103611 107289 241759 310833 321867 448981 725277 932499 1346943 2175831 3142867 4040829 4524347 6527493 9428601 12122487 13573041 28285803 31670429 40719123 58816511 84857409 95011287 122157369 176449533 285033861 411715577 529348599 855101583 1235146731 1588045797 3705440193 11116320579