Search a number
-
+
268806673008 = 243319101324251
BaseRepresentation
bin1111101001011000100…
…0000101001001110000
3221200211121011211111000
43322112020011021300
513401004002014013
6323253231522000
725264165010136
oct3722610051160
9850747154430
10268806673008
11a40003a5015
124411a989300
131c46b46a783
14d020423756
156ed3e16973
hex3e96205270

268806673008 has 160 divisors (see below), whose sum is σ = 820227859200. Its totient is φ = 84045600000.

The previous prime is 268806672971. The next prime is 268806673013. The reversal of 268806673008 is 800376608862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666883 + ... + 991133.

It is an arithmetic number, because the mean of its divisors is an integer number (5126424120).

Almost surely, 2268806673008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268806673008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410113929600).

268806673008 is an abundant number, since it is smaller than the sum of its proper divisors (551421186192).

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

268806673008 is a wasteful number, since it uses less digits than its factorization.

268806673008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324388 (or 324376 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 268806673008 in words is "two hundred sixty-eight billion, eight hundred six million, six hundred seventy-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 101 108 114 144 152 171 202 216 228 303 304 342 404 432 456 513 606 684 808 909 912 1026 1212 1368 1616 1818 1919 2052 2424 2727 2736 3636 3838 4104 4848 5454 5757 7272 7676 8208 10908 11514 14544 15352 17271 21816 23028 30704 34542 43632 46056 51813 69084 92112 103626 138168 207252 276336 324251 414504 648502 829008 972753 1297004 1945506 2594008 2918259 3891012 5188016 5836518 6160769 7782024 8754777 11673036 12321538 15564048 17509554 18482307 23346072 24643076 32749351 35019108 36964614 46692144 49286152 55446921 65498702 70038216 73929228 98248053 98572304 110893842 130997404 140076432 147858456 166340763 196496106 221787684 261994808 294744159 295716912 332681526 392992212 443575368 523989616 589488318 622237669 665363052 785984424 884232477 887150736 1178976636 1244475338 1330726104 1571968848 1768464954 1866713007 2357953272 2488950676 2661452208 3536929908 3733426014 4715906544 4977901352 5600139021 7073859816 7466852028 9955802704 11200278042 14147719632 14933704056 16800417063 22400556084 29867408112 33600834126 44801112168 67201668252 89602224336 134403336504 268806673008