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256378106985 = 357211132439257
BaseRepresentation
bin1110111011000101010…
…0110111010001101001
3220111202102122021001220
43232301110313101221
513200030243410420
6313440052332253
724344200644600
oct3566124672151
9814672567056
10256378106985
1199802837450
1241830614089
131b23a5a22b0
14c5a1926a37
156a07c3d840
hex3bb1537469

256378106985 has 96 divisors (see below), whose sum is σ = 560600030592. Its totient is φ = 98350801920.

The previous prime is 256378106977. The next prime is 256378106987. The reversal of 256378106985 is 589601873652.

It is not a de Polignac number, because 256378106985 - 23 = 256378106977 is a prime.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (256378106987) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1114524 + ... + 1324733.

It is an arithmetic number, because the mean of its divisors is an integer number (5839583652).

Almost surely, 2256378106985 is an apocalyptic number.

It is an amenable number.

256378106985 is an abundant number, since it is smaller than the sum of its proper divisors (304221923607).

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

256378106985 is a wasteful number, since it uses less digits than its factorization.

256378106985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439303 (or 2439296 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

It can be divided in two parts, 256378 and 106985, that added together give a palindrome (363363).

The spelling of 256378106985 in words is "two hundred fifty-six billion, three hundred seventy-eight million, one hundred six thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 49 55 65 77 91 105 143 147 165 195 231 245 273 385 429 455 539 637 715 735 1001 1155 1365 1617 1911 2145 2695 3003 3185 5005 7007 8085 9555 15015 21021 35035 105105 2439257 7317771 12196285 17074799 26831827 31710341 36588855 51224397 80495481 85373995 95131023 119523593 134159135 158551705 187822789 221972387 256121985 348813751 358570779 402477405 475655115 563468367 597617965 665917161 939113945 1046441253 1109861935 1314759523 1553806709 1744068755 1792853895 2441696257 2817341835 3329585805 3944278569 4661420127 5232206265 6573797615 7325088771 7769033545 12208481285 17091873799 19721392845 23307100635 36625443855 51275621397 85459368995 256378106985