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16006245430 = 2572192412207
BaseRepresentation
bin11101110100000101…
…11110110000110110
31112022111120111220211
432322002332300312
5230240044323210
611204141220034
71104435561400
oct167202766066
945274514824
1016006245430
11687412110a
12312856161a
131681161b56
14abbb19b70
1563a32b38a
hex3ba0bec36

16006245430 has 144 divisors (see below), whose sum is σ = 36251058816. Its totient is φ = 5069917440.

The previous prime is 16006245419. The next prime is 16006245461. The reversal of 16006245430 is 3454260061.

It is a junction number, because it is equal to n+sod(n) for n = 16006245392 and 16006245401.

It is a congruent number.

It is an unprimeable number.

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, 7251387 + ... + 7253593.

It is an arithmetic number, because the mean of its divisors is an integer number (251743464).

Almost surely, 216006245430 is an apocalyptic number.

16006245430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16006245430 is an abundant number, since it is smaller than the sum of its proper divisors (20244813386).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16006245430 is a wasteful number, since it uses less digits than its factorization.

16006245430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 16006245430 in words is "sixteen billion, six million, two hundred forty-five thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 41 49 70 82 95 98 133 190 205 245 266 287 361 410 490 574 665 722 779 931 1330 1435 1558 1805 1862 2009 2207 2527 2870 3610 3895 4018 4414 4655 5054 5453 7790 9310 10045 10906 11035 12635 14801 15449 17689 20090 22070 25270 27265 29602 30898 35378 38171 41933 54530 74005 76342 77245 83866 88445 90487 103607 108143 148010 154490 176890 180974 190855 207214 209665 216286 293531 381710 419330 452435 518035 540715 587062 633409 725249 796727 904870 1036070 1081430 1266818 1450498 1467655 1593454 1719253 2054717 2935310 3167045 3438506 3626245 3983635 4109434 4433863 5577089 6334090 7252490 7967270 8596265 8867726 10273585 11154178 12034771 17192530 20547170 22169315 24069542 27885445 32665807 39039623 44338630 55770890 60173855 65331614 78079246 84243397 120347710 163329035 168486794 195198115 228660649 326658070 390396230 421216985 457321298 842433970 1143303245 1600624543 2286606490 3201249086 8003122715 16006245430