Search a number
-
+
117795334320 = 24335291880513
BaseRepresentation
bin110110110110100100…
…1100010100010110000
3102021001100200222202000
41231231021202202300
53412221101144240
6130040414454000
711340035551446
oct1555511424260
9367040628660
10117795334320
1145a58439174
121a9b5504300
13b153511171
1459b6612b96
1530e6666430
hex1b6d2628b0

117795334320 has 160 divisors (see below), whose sum is σ = 419730724800. Its totient is φ = 30328897536.

The previous prime is 117795334313. The next prime is 117795334357. The reversal of 117795334320 is 23433597711.

117795334320 is a `hidden beast` number, since 1 + 1 + 7 + 79 + 533 + 43 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 877617 + ... + 1002896.

It is an arithmetic number, because the mean of its divisors is an integer number (2623317030).

Almost surely, 2117795334320 is an apocalyptic number.

117795334320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117795334320 is an abundant number, since it is smaller than the sum of its proper divisors (301935390480).

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

117795334320 is a wasteful number, since it uses less digits than its factorization.

117795334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880564 (or 1880552 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 117795334320 in words is "one hundred seventeen billion, seven hundred ninety-five million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 87 90 108 116 120 135 144 145 174 180 216 232 240 261 270 290 348 360 432 435 464 522 540 580 696 720 783 870 1044 1080 1160 1305 1392 1566 1740 2088 2160 2320 2610 3132 3480 3915 4176 5220 6264 6960 7830 10440 12528 15660 20880 31320 62640 1880513 3761026 5641539 7522052 9402565 11283078 15044104 16924617 18805130 22566156 28207695 30088208 33849234 37610260 45132312 50773851 54534877 56415390 67698468 75220520 84623085 90264624 101547702 109069754 112830780 135396936 150441040 163604631 169246170 203095404 218139508 225661560 253869255 270793872 272674385 327209262 338492340 406190808 436279016 451323120 490813893 507738510 545348770 654418524 676984680 812381616 818023155 872558032 981627786 1015477020 1090697540 1308837048 1353969360 1472441679 1636046310 1963255572 2030954040 2181395080 2454069465 2617674096 2944883358 3272092620 3926511144 4061908080 4362790160 4908138930 5889766716 6544185240 7362208395 7853022288 9816277860 11779533432 13088370480 14724416790 19632555720 23559066864 29448833580 39265111440 58897667160 117795334320