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12205677393 = 3272138632467
BaseRepresentation
bin10110101111000001…
…11101101101010001
31011111122010122200200
423113200331231101
5144444123134033
65335054005413
7611316355200
oct132740755521
934448118620
1012205677393
1151a3872098
1224477a6869
1311c6959020
1483b07b237
154b684c013
hex2d783db51

12205677393 has 72 divisors (see below), whose sum is σ = 22121019648. Its totient is φ = 6428092608.

The previous prime is 12205677389. The next prime is 12205677433. The reversal of 12205677393 is 39377650221.

12205677393 is a `hidden beast` number, since 12 + 2 + 0 + 567 + 73 + 9 + 3 = 666.

It is not a de Polignac number, because 12205677393 - 22 = 12205677389 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12205677313) 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 71 ways as a sum of consecutive naturals, for example, 4946346 + ... + 4948812.

It is an arithmetic number, because the mean of its divisors is an integer number (307236384).

Almost surely, 212205677393 is an apocalyptic number.

12205677393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12205677393 is a deficient number, since it is larger than the sum of its proper divisors (9915342255).

12205677393 is a wasteful number, since it uses less digits than its factorization.

12205677393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 12205677393 in words is "twelve billion, two hundred five million, six hundred seventy-seven thousand, three hundred ninety-three".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 863 1911 2467 2589 5733 6041 7401 7767 11219 17269 18123 22203 32071 33657 42287 51807 54369 78533 96213 100971 120883 126861 155421 224497 235599 288639 362649 380583 549731 673491 706797 1087947 1571479 1649193 2020473 2129021 4714437 4947579 6387063 14143311 14903147 19161189 27677273 44709441 83031819 104322029 134128323 193740911 249095457 312966087 581222733 938898261 1356186377 1743668199 4068559131 12205677393