Search a number
-
+
705104203752172 = 227223601672599627
BaseRepresentation
bin1010000001010010011101110…
…1100110000010001011101100
310102110120022012022001220112201
42200110213131212002023230
51214404411402130032142
610535344222135511244
7301343045324442400
oct24024473546021354
93373508168056481
10705104203752172
11194739016a97a24
12670b9b03228524
132435906c417083
14c619322cb9100
15567b5a24b9ab7
hex28149dd9822ec

705104203752172 has 72 divisors (see below), whose sum is σ = 1497824462018304. Its totient is φ = 289044012948768.

The previous prime is 705104203752101. The next prime is 705104203752203. The reversal of 705104203752172 is 271257302401507.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269933023 + ... + 272532649.

It is an arithmetic number, because the mean of its divisors is an integer number (20803117528032).

Almost surely, 2705104203752172 is an apocalyptic number.

It is an amenable number.

705104203752172 is an abundant number, since it is smaller than the sum of its proper divisors (792720258266132).

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

705104203752172 is a wasteful number, since it uses less digits than its factorization.

705104203752172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659835 (or 2659826 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 46.

The spelling of 705104203752172 in words is "seven hundred five trillion, one hundred four billion, two hundred three million, seven hundred fifty-two thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 644 1127 2254 4508 60167 120334 240668 421169 842338 1383841 1684676 2599627 2767682 2948183 5199254 5535364 5896366 9686887 10398508 11792732 18197389 19373774 36394778 38747548 59791421 67808209 72789556 119582842 127381723 135616418 239165684 254763446 271232836 418539947 509526892 837079894 1674159788 2929779629 5859559258 11719118516 156411757709 312823515418 625647030836 1094882303963 2189764607926 3597470427307 4379529215852 7194940854614 7664176127741 14389881709228 15328352255482 25182292991149 30656704510964 50364585982298 100729171964596 176276050938043 352552101876086 705104203752172