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204711943968 = 25327752913487
BaseRepresentation
bin1011111010100111001…
…0000101111100100000
3201120101201122020110200
42332221302011330200
511323222224201333
6234013211225200
720534644545660
oct2765162057440
9646351566420
10204711943968
11798aa612474
1233811748200
13163c55a25bc
149c9dbdc1a0
1554d1e7ac13
hex2fa9c85f20

204711943968 has 144 divisors (see below), whose sum is σ = 665451521280. Its totient is φ = 58477022208.

The previous prime is 204711943967. The next prime is 204711943981. The reversal of 204711943968 is 869349117402.

204711943968 is a `hidden beast` number, since 20 + 47 + 1 + 194 + 396 + 8 = 666.

204711943968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (204711943967) 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 23 ways as a sum of consecutive naturals, for example, 15171721 + ... + 15185207.

It is an arithmetic number, because the mean of its divisors is an integer number (4621191120).

Almost surely, 2204711943968 is an apocalyptic number.

204711943968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

204711943968 is an abundant number, since it is smaller than the sum of its proper divisors (460739577312).

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

204711943968 is a wasteful number, since it uses less digits than its factorization.

204711943968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21039 (or 21028 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 204711943968 in words is "two hundred four billion, seven hundred eleven million, nine hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 7529 13487 15058 22587 26974 30116 40461 45174 52703 53948 60232 67761 80922 90348 94409 105406 107896 120464 121383 135522 158109 161844 180696 188818 210812 215792 240928 242766 271044 283227 316218 323688 361392 377636 421624 431584 474327 485532 542088 566454 632436 647376 722784 755272 843248 849681 948654 971064 1084176 1132908 1264872 1294752 1510544 1686496 1699362 1897308 1942128 2168352 2265816 2529744 3021088 3398724 3794616 3884256 4531632 5059488 6797448 7589232 9063264 13594896 15178464 27189792 101543623 203087246 304630869 406174492 609261738 710805361 812348984 913892607 1218523476 1421610722 1624697968 1827785214 2132416083 2437046952 2843221444 3249395936 3655570428 4264832166 4874093904 5686442888 6397248249 7311140856 8529664332 9748187808 11372885776 12794496498 14622281712 17059328664 22745771552 25588992996 29244563424 34118657328 51177985992 68237314656 102355971984 204711943968