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12653873973 = 3313193197631
BaseRepresentation
bin10111100100011101…
…01100101100110101
31012122212111101211000
423302032230230311
5201403342431343
65451344233513
7625401103566
oct136216545465
935585441730
1012653873973
115403866894
12255190b899
131268773bc0
148807ca16d
154e0d80ed3
hex2f23acb35

12653873973 has 128 divisors (see below), whose sum is σ = 22197862400. Its totient is φ = 7054387200.

The previous prime is 12653873963. The next prime is 12653873987. The reversal of 12653873973 is 37937835621.

12653873973 is a `hidden beast` number, since 1 + 2 + 6 + 538 + 7 + 39 + 73 = 666.

It is not a de Polignac number, because 12653873973 - 24 = 12653873957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12653873963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20053368 + ... + 20053998.

It is an arithmetic number, because the mean of its divisors is an integer number (173420800).

Almost surely, 212653873973 is an apocalyptic number.

12653873973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12653873973 is a deficient number, since it is larger than the sum of its proper divisors (9543988427).

12653873973 is a wasteful number, since it uses less digits than its factorization.

12653873973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 794 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 12653873973 in words is "twelve billion, six hundred fifty-three million, eight hundred seventy-three thousand, nine hundred seventy-three".

Divisors: 1 3 9 13 19 27 31 39 57 93 97 117 171 247 279 291 351 403 513 589 631 741 837 873 1209 1261 1767 1843 1893 2223 2619 3007 3627 3783 5301 5529 5679 6669 7657 8203 9021 10881 11349 11989 15903 16587 17037 19561 22971 23959 24609 27063 34047 35967 39091 49761 57133 58683 61207 68913 71877 73827 81189 107901 117273 155857 171399 176049 183621 206739 215631 221481 254293 323703 351819 371659 467571 514197 528147 550863 646893 742729 762879 795691 1055457 1114977 1162933 1402713 1542591 1652589 1897417 2228187 2288637 2387073 3344931 3488799 4208139 4831567 5692251 6684561 6865911 7161219 10034793 10466397 14494701 15118129 17076753 20053683 21483657 24666421 31399191 36050923 43484103 45354387 51230259 73999263 108152769 130452309 136063161 221997789 324458307 408189483 468661999 665993367 973374921 1405985997 4217957991 12653873973