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12585823606805 = 5233967721379
BaseRepresentation
bin1011011100100101110110…
…0010111001100000010101
31122120012012200112202201212
42313021131202321200111
53122201231320404210
642433503023031205
72436203304345101
oct267113542714025
948505180482655
1012585823606805
114012688350369
1214b3272a3b505
13703ab832ac47
1431722b190901
1516c5bd415805
hexb725d8b9815

12585823606805 has 32 divisors (see below), whose sum is σ = 15791801644800. Its totient is φ = 9629445435456.

The previous prime is 12585823606753. The next prime is 12585823606841. The reversal of 12585823606805 is 50860632858521.

12585823606805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12585823606805 is a prime.

It is a super-2 number, since 2×125858236068052 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588689606 + ... + 588710984.

It is an arithmetic number, because the mean of its divisors is an integer number (493493801400).

Almost surely, 212585823606805 is an apocalyptic number.

It is an amenable number.

12585823606805 is a deficient number, since it is larger than the sum of its proper divisors (3205978037995).

12585823606805 is an frugal number, since it uses more digits than its factorization.

12585823606805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31130 (or 31084 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 59.

The spelling of 12585823606805 in words is "twelve trillion, five hundred eighty-five billion, eight hundred twenty-three million, six hundred six thousand, eight hundred five".

Divisors: 1 5 23 115 529 2645 9677 12167 21379 48385 60835 106895 222571 491717 1112855 2458585 5119133 11309491 25595665 56547455 117740059 206884583 260118293 588700295 1034422915 1300591465 4758345409 23791727045 109441944407 547209722035 2517164721361 12585823606805