Search a number
-
+
196677128736 = 25321125643857
BaseRepresentation
bin1011011100101011011…
…1101101001000100000
3200210122202201100001100
42313022313231020200
511210243321104421
6230204025234400
720131562003454
oct2671267551040
9623582640040
10196677128736
1176457125900
123214a932a00
1315714a8c86a
14973aa70664
1551b18a4c26
hex2dcaded220

196677128736 has 108 divisors (see below), whose sum is σ = 614768520366. Its totient is φ = 59599119360.

The previous prime is 196677128729. The next prime is 196677128741. The reversal of 196677128736 is 637821776691.

196677128736 is digitally balanced in base 2, 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., 151118787600 + 45558341136 = 388740^2 + 213444^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 2787081 + ... + 2856776.

Almost surely, 2196677128736 is an apocalyptic number.

196677128736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

196677128736 is an abundant number, since it is smaller than the sum of its proper divisors (418091391630).

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

196677128736 is a wasteful number, since it uses less digits than its factorization.

196677128736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5643895 (or 5643873 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The spelling of 196677128736 in words is "one hundred ninety-six billion, six hundred seventy-seven million, one hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4356 5808 8712 11616 17424 34848 5643857 11287714 16931571 22575428 33863142 45150856 50794713 62082427 67726284 90301712 101589426 124164854 135452568 180603424 186247281 203178852 248329708 270905136 372494562 406357704 496659416 541810272 558741843 682906697 744989124 812715408 993318832 1117483686 1365813394 1489978248 1625430816 1986637664 2048720091 2234967372 2731626788 2979956496 4097440182 4469934744 5463253576 5959912992 6146160273 8194880364 8939869488 10926507152 12292320546 16389760728 17879738976 21853014304 24584641092 32779521456 49169282184 65559042912 98338564368 196677128736