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11584940545079 = 1117292136260473
BaseRepresentation
bin1010100010010101010001…
…0001000001010000110111
31112000111202102111011021222
42220211110101001100313
53004301424234420304
640350014225300555
72303661424605056
oct250452421012067
945014672434258
1011584940545079
113767166a120a0
1213712a519475b
136605bc119695
142c09dd75a39d
1515153e3bb4be
hexa8954441437

11584940545079 has 16 divisors (see below), whose sum is σ = 13842967871520. Its totient is φ = 9570446914560.

The previous prime is 11584940545051. The next prime is 11584940545153. The reversal of 11584940545079 is 97054504948511.

It is a cyclic number.

It is not a de Polignac number, because 11584940545079 - 28 = 11584940544823 is a prime.

It is a super-3 number, since 3×115849405450793 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11584940545679) 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, 1068124814 + ... + 1068135659.

It is an arithmetic number, because the mean of its divisors is an integer number (865185491970).

Almost surely, 211584940545079 is an apocalyptic number.

11584940545079 is a deficient number, since it is larger than the sum of its proper divisors (2258027326441).

11584940545079 is a wasteful number, since it uses less digits than its factorization.

11584940545079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136260530.

The product of its (nonzero) digits is 36288000, while the sum is 62.

The spelling of 11584940545079 in words is "eleven trillion, five hundred eighty-four billion, nine hundred forty million, five hundred forty-five thousand, seventy-nine".

Divisors: 1 11 17 29 187 319 493 5423 2136260473 23498865203 36316428041 61951553717 399480708451 681467090887 1053176413189 11584940545079