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12642604605 = 335314616553
BaseRepresentation
bin10111100011000111…
…01101011000111101
31012122002021212011000
423301203231120331
5201343001321410
65450302520513
7625203236361
oct136143553075
935562255130
1012642604605
1153a8469a64
122549b96139
131266329637
1487d0d52a1
154deda6dc0
hex2f18ed63d

12642604605 has 64 divisors (see below), whose sum is σ = 23254640640. Its totient is φ = 6510067200.

The previous prime is 12642604529. The next prime is 12642604631. The reversal of 12642604605 is 50640624621.

12642604605 is a `hidden beast` number, since 1 + 2 + 6 + 42 + 6 + 0 + 4 + 605 = 666.

It is not a de Polignac number, because 12642604605 - 27 = 12642604477 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12642604605.

It is a congruent 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, 1926009 + ... + 1932561.

It is an arithmetic number, because the mean of its divisors is an integer number (363353760).

Almost surely, 212642604605 is an apocalyptic number.

12642604605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12642604605 is a deficient number, since it is larger than the sum of its proper divisors (10612036035).

12642604605 is a wasteful number, since it uses less digits than its factorization.

12642604605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7059 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12642604605 in words is "twelve billion, six hundred forty-two million, six hundred four thousand, six hundred five".

Divisors: 1 3 5 9 15 27 31 45 93 135 155 279 461 465 837 1383 1395 2305 4149 4185 6553 6915 12447 14291 19659 20745 32765 42873 58977 62235 71455 98295 128619 176931 203143 214365 294885 385857 609429 643095 884655 1015715 1828287 1929285 3020933 3047145 5484861 9062799 9141435 15104665 27188397 27424305 45313995 81565191 93648923 135941985 280946769 407825955 468244615 842840307 1404733845 2528520921 4214201535 12642604605