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12355417485 = 3351494211459
BaseRepresentation
bin10111000000111000…
…01011010110001101
31011220001220020111000
423200130023112031
5200300441324420
65402003250513
7615115213215
oct134034132615
934801806430
1012355417485
115270347034
122489979a39
13121b996828
14852cd9245
154c4a79690
hex2e070b58d

12355417485 has 64 divisors (see below), whose sum is σ = 22180320000. Its totient is φ = 6525308160.

The previous prime is 12355417423. The next prime is 12355417493. The reversal of 12355417485 is 58471455321.

12355417485 is a `hidden beast` number, since 1 + 2 + 3 + 554 + 17 + 4 + 85 = 666.

It is not a de Polignac number, because 12355417485 - 26 = 12355417421 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12355417485.

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, 8467686 + ... + 8469144.

It is an arithmetic number, because the mean of its divisors is an integer number (346567500).

Almost surely, 212355417485 is an apocalyptic number.

12355417485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12355417485 is a deficient number, since it is larger than the sum of its proper divisors (9824902515).

12355417485 is a wasteful number, since it uses less digits than its factorization.

12355417485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2037 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The spelling of 12355417485 in words is "twelve billion, three hundred fifty-five million, four hundred seventeen thousand, four hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 135 149 421 447 745 1263 1341 1459 2105 2235 3789 4023 4377 6315 6705 7295 11367 13131 18945 20115 21885 39393 56835 62729 65655 188187 196965 217391 313645 564561 614239 652173 940935 1086955 1693683 1842717 1956519 2822805 3071195 3260865 5528151 5869557 8468415 9213585 9782595 16584453 27640755 29347785 82922265 91521611 274564833 457608055 823694499 1372824165 2471083497 4118472495 12355417485