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12690431985 = 3571119955213
BaseRepresentation
bin10111101000110100…
…01001111111110001
31012202102021201222110
423310122021333301
5201442222310420
65455131555533
7626323614660
oct136432117761
935672251873
1012690431985
115422466420
122561bbbba9
131273203b6a
148855c4dd7
154e41a2ee0
hex2f4689ff1

12690431985 has 64 divisors (see below), whose sum is σ = 25442611200. Its totient is φ = 5247348480.

The previous prime is 12690431917. The next prime is 12690432019. The reversal of 12690431985 is 58913409621.

It is not a de Polignac number, because 12690431985 - 28 = 12690431729 is a prime.

It is a super-2 number, since 2×126904319852 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202239 + ... + 257451.

It is an arithmetic number, because the mean of its divisors is an integer number (397540800).

Almost surely, 212690431985 is an apocalyptic number.

12690431985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12690431985 is an abundant number, since it is smaller than the sum of its proper divisors (12752179215).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12690431985 is a wasteful number, since it uses less digits than its factorization.

12690431985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55438.

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 12690431985 in words is "twelve billion, six hundred ninety million, four hundred thirty-one thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 199 231 385 597 995 1155 1393 2189 2985 4179 6567 6965 10945 15323 20895 32835 45969 55213 76615 165639 229845 276065 386491 607343 828195 1159473 1822029 1932455 3036715 4251401 5797365 9110145 10987387 12754203 21257005 32962161 54936935 63771015 76911709 120861257 164810805 230735127 362583771 384558545 604306285 846028799 1153675635 1812918855 2538086397 4230143995 12690431985