Search a number
-
+
7000673334040 = 23523291391887727
BaseRepresentation
bin110010111011111100010…
…1001011011001100011000
3220210020221221221220001001
41211313320221123030120
51404144334333142130
622520022005234344
71321532132340211
oct145677051331430
926706857856031
107000673334040
112259a72654161
1295093b4029b4
133ba211c8c439
141a2b9782c408
15c21848a56ca
hex65df8a5b318

7000673334040 has 128 divisors (see below), whose sum is σ = 17125468416000. Its totient is φ = 2567548988928.

The previous prime is 7000673334037. The next prime is 7000673334089. The reversal of 7000673334040 is 404333760007.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2764657 + ... + 4652383.

It is an arithmetic number, because the mean of its divisors is an integer number (133792722000).

Almost surely, 27000673334040 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 7000673334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8562734208000).

7000673334040 is an abundant number, since it is smaller than the sum of its proper divisors (10124795081960).

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

7000673334040 is a wasteful number, since it uses less digits than its factorization.

7000673334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887929 (or 1887925 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 37.

The spelling of 7000673334040 in words is "seven trillion, six hundred seventy-three million, three hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 58 92 115 116 139 145 184 230 232 278 290 460 556 580 667 695 920 1112 1160 1334 1390 2668 2780 3197 3335 4031 5336 5560 6394 6670 8062 12788 13340 15985 16124 20155 25576 26680 31970 32248 40310 63940 80620 92713 127880 161240 185426 370852 463565 741704 927130 1854260 1887727 3708520 3775454 7550908 9438635 15101816 18877270 37754540 43417721 54744083 75509080 86835442 109488166 173670884 217088605 218976332 262394053 273720415 347341768 434177210 437952664 524788106 547440830 868354420 1049576212 1094881660 1259113909 1311970265 1736708840 2099152424 2189763320 2518227818 2623940530 5036455636 5247881060 6035063219 6295569545 7609427537 10072911272 10495762120 12070126438 12591139090 15218855074 24140252876 25182278180 30175316095 30437710148 38047137685 48280505752 50364556360 60350632190 60875420296 76094275370 120701264380 152188550740 175016833351 241402528760 304377101480 350033666702 700067333404 875084166755 1400134666808 1750168333510 3500336667020 7000673334040