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204148168848 = 243213109053509
BaseRepresentation
bin1011111000100000101…
…1011101100010010000
3201111221102210111101200
42332020023131202100
511321043412400343
6233441231431200
720514660542511
oct2761013354220
9644842714350
10204148168848
1179640356918
1233694985500
131633584b160
149c48da4a08
15549c7164d3
hex2f882dd890

204148168848 has 60 divisors (see below), whose sum is σ = 615279903420. Its totient is φ = 62814820608.

The previous prime is 204148168813. The next prime is 204148168891. The reversal of 204148168848 is 848861841402.

204148168848 is a `hidden beast` number, since 2 + 0 + 41 + 481 + 6 + 88 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100598077584 + 103550091264 = 317172^2 + 321792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 204148168794 and 204148168803.

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 11 ways as a sum of consecutive naturals, for example, 54524883 + ... + 54528626.

It is an arithmetic number, because the mean of its divisors is an integer number (10254665057).

Almost surely, 2204148168848 is an apocalyptic number.

It is an amenable number.

204148168848 is an abundant number, since it is smaller than the sum of its proper divisors (411131734572).

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

204148168848 is a wasteful number, since it uses less digits than its factorization.

204148168848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109053536 (or 109053527 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 204148168848 in words is "two hundred four billion, one hundred forty-eight million, one hundred sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 109053509 218107018 327160527 436214036 654321054 872428072 981481581 1308642108 1417695617 1744856144 1962963162 2617284216 2835391234 3925926324 4253086851 5234568432 5670782468 7851852648 8506173702 11341564936 12759260553 15703705296 17012347404 22683129872 25518521106 34024694808 51037042212 68049389616 102074084424 204148168848