Search a number
-
+
2725815167130 = 2351159971443307
BaseRepresentation
bin100111101010100111001…
…111101010100010011010
3100122120210202010121121010
4213222213033222202122
5324124432140322010
65444115554554350
7400635145426356
oct47524717524232
910576722117533
102725815167130
11961014666650
12380345b989b6
1316a07409b123
1495d044d4466
154ad885c8620
hex27aa73ea89a

2725815167130 has 128 divisors (see below), whose sum is σ = 7332466498560. Its totient is φ = 642906224640.

The previous prime is 2725815167113. The next prime is 2725815167143. The reversal of 2725815167130 is 317615185272.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2725815167130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1166937 + ... + 2610243.

It is an arithmetic number, because the mean of its divisors is an integer number (57284894520).

Almost surely, 22725815167130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2725815167130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666233249280).

2725815167130 is an abundant number, since it is smaller than the sum of its proper divisors (4606651331430).

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

2725815167130 is a wasteful number, since it uses less digits than its factorization.

2725815167130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443484.

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 2725815167130 in words is "two trillion, seven hundred twenty-five billion, eight hundred fifteen million, one hundred sixty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 97 110 118 165 177 194 291 295 330 354 485 582 590 649 885 970 1067 1298 1455 1770 1947 2134 2910 3201 3245 3894 5335 5723 6402 6490 9735 10670 11446 16005 17169 19470 28615 32010 34338 57230 62953 85845 125906 171690 188859 314765 377718 629530 944295 1443307 1888590 2886614 4329921 7216535 8659842 14433070 15876377 21649605 31752754 43299210 47629131 79381885 85155113 95258262 140000779 158763770 170310226 238145655 255465339 280001558 420002337 425775565 476291310 510930678 700003895 840004674 851551130 936706243 1277326695 1400007790 1540008569 1873412486 2100011685 2554653390 2810118729 3080017138 4200023370 4620025707 4683531215 5620237458 7700042845 8260045961 9240051414 9367062430 14050593645 15400085690 16520091922 23100128535 24780137883 28101187290 41300229805 46200257070 49560275766 82600459610 90860505571 123900689415 181721011142 247801378830 272581516713 454302527855 545163033426 908605055710 1362907583565 2725815167130