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128105850249 = 321319371557499
BaseRepresentation
bin111011101001110110…
…1000010010110001001
3110020122220202110122100
41313103231002112021
54044330044201444
6134503452544013
712153403521606
oct1672355022611
9406586673570
10128105850249
114a36945a413
12209b2482009
13c10763ba70
1462b3ac56ad
1534eb90de69
hex1dd3b42589

128105850249 has 48 divisors (see below), whose sum is σ = 215433400000. Its totient is φ = 72666626688.

The previous prime is 128105850247. The next prime is 128105850251. The reversal of 128105850249 is 942058501821.

128105850249 is a `hidden beast` number, since 1 + 28 + 1 + 0 + 585 + 0 + 2 + 49 = 666.

It is an interprime number because it is at equal distance from previous prime (128105850247) and next prime (128105850251).

It is not a de Polignac number, because 128105850249 - 21 = 128105850247 is a prime.

It is a super-2 number, since 2×1281058502492 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (128105850247) 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 47 ways as a sum of consecutive naturals, for example, 696499 + ... + 861000.

Almost surely, 2128105850249 is an apocalyptic number.

128105850249 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

128105850249 is a deficient number, since it is larger than the sum of its proper divisors (87327549751).

128105850249 is a wasteful number, since it uses less digits than its factorization.

128105850249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557574 (or 1557571 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 128105850249 in words is "one hundred twenty-eight billion, one hundred five million, eight hundred fifty thousand, two hundred forty-nine".

Divisors: 1 3 9 13 19 37 39 57 111 117 171 247 333 481 703 741 1443 2109 2223 4329 6327 9139 27417 82251 1557499 4672497 14017491 20247487 29592481 57627463 60742461 88777443 172882389 182227383 266332329 384702253 518647167 749157019 1094921797 1154106759 2247471057 3284765391 3462320277 6742413171 9854296173 14233983361 42701950083 128105850249