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195897981278736 = 24321121060332
BaseRepresentation
bin101100100010101100001101…
…100101100001101000010000
3221200121122221010201100102100
4230202230031211201220100
5201134043031201404421
61532350142404120400
756156106411426222
oct5442541545415020
9850548833640370
10195897981278736
115746795a422500
1219b7a411696100
13854013c6832b9
1436537274d4412
15179ab51a39c26
hexb22b0d961a10

195897981278736 has 135 divisors (see below), whose sum is σ = 602619084289677. Its totient is φ = 59362464775680.

The previous prime is 195897981278669. The next prime is 195897981278737. The reversal of 195897981278736 is 637872189798591.

The square root of 195897981278736 is 13996356.

It is a perfect power (a square), and thus also a powerful number.

195897981278736 is a `hidden beast` number, since 1 + 9 + 589 + 7 + 9 + 8 + 12 + 7 + 8 + 7 + 3 + 6 = 666.

195897981278736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 18183913347600 + 177714067931136 = 4264260^2 + 13330944^2 .

It is not an unprimeable number, because it can be changed into a prime (195897981278737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1847465976 + ... + 1847572008.

Almost surely, 2195897981278736 is an apocalyptic number.

195897981278736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

195897981278736 is the 13996356-th square number.

It is an amenable number.

195897981278736 is an abundant number, since it is smaller than the sum of its proper divisors (406721103010941).

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

195897981278736 is an frugal number, since it uses more digits than its factorization.

195897981278736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212102 (or 106049 counting only the distinct ones).

The product of its digits is 23044331520, while the sum is 90.

The spelling of 195897981278736 in words is "one hundred ninety-five trillion, eight hundred ninety-seven billion, nine hundred eighty-one million, two hundred seventy-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 17424 106033 212066 318099 424132 636198 848264 954297 1166363 1272396 1696528 1908594 2332726 2544792 3499089 3817188 4665452 5089584 6998178 7634376 9330904 10497267 12829993 13996356 15268752 18661808 20994534 25659986 27992712 38489979 41989068 51319972 55985424 76979958 83978136 102639944 115469937 153959916 167956272 205279888 230939874 307919832 461879748 615839664 923759496 1847518992 11242997089 22485994178 33728991267 44971988356 67457982534 89943976712 101186973801 123672967979 134915965068 179887953424 202373947602 247345935958 269831930136 371018903937 404747895204 494691871916 539663860272 742037807874 809495790408 989383743832 1113056711811 1360402647769 1484075615748 1618991580816 1978767487664 2226113423622 2720805295538 2968151231496 4081207943307 4452226847244 5441610591076 5936302462992 8162415886614 8904453694488 10883221182152 12243623829921 16324831773228 17808907388976 21766442364304 24487247659842 32649663546456 48974495319684 65299327092912 97948990639368 195897981278736