Search a number
-
+
117746138078208 = 2103212776273663
BaseRepresentation
bin11010110001011011101000…
…101110111101110000000000
3120102220102100210221101002200
4122301123220232331300000
5110413123042322000313
61054231455025513200
733541610032020123
oct3261335056756000
9512812323841080
10117746138078208
1134576947345182
1211257ba74a2800
13509154a99b6c3
142110d2cd1c3ba
15d92ca97b0b73
hex6b16e8bbdc00

117746138078208 has 66 divisors (see below), whose sum is σ = 339989418472704. Its totient is φ = 39248712689664.

The previous prime is 117746138078197. The next prime is 117746138078213. The reversal of 117746138078208 is 802870831647711.

117746138078208 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 4 + 613 + 8 + 0 + 7 + 8 + 2 + 0 + 8 = 666.

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 5 ways as a sum of consecutive naturals, for example, 6388127616 + ... + 6388146047.

It is an arithmetic number, because the mean of its divisors is an integer number (5151354825344).

Almost surely, 2117746138078208 is an apocalyptic number.

117746138078208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

117746138078208 is an abundant number, since it is smaller than the sum of its proper divisors (222243280394496).

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

117746138078208 is a wasteful number, since it uses less digits than its factorization.

117746138078208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12776273689 (or 12776273668 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 117746138078208 in words is "one hundred seventeen trillion, seven hundred forty-six billion, one hundred thirty-eight million, seventy-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 12776273663 25552547326 38328820989 51105094652 76657641978 102210189304 114986462967 153315283956 204420378608 229972925934 306630567912 408840757216 459945851868 613261135824 817681514432 919891703736 1226522271648 1635363028864 1839783407472 2453044543296 3270726057728 3679566814944 4906089086592 6541452115456 7359133629888 9812178173184 13082904230912 14718267259776 19624356346368 29436534519552 39248712692736 58873069039104 117746138078208