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807803690841 = 327212723372
BaseRepresentation
bin10111100000101001101…
…10100001111101011001
32212020002020011022100100
423300110312201331121
5101213340221101331
61415033324330013
7112235062036200
oct13602466417531
92766066138310
10807803690841
11291651140174
121106839a3909
135b238928414
142b15292c237
151602d461ae6
hexbc14da1f59

807803690841 has 81 divisors (see below), whose sum is σ = 1372173499359. Its totient is φ = 456608492928.

The previous prime is 807803690819. The next prime is 807803690891. The reversal of 807803690841 is 148096308708.

The square root of 807803690841 is 898779.

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

It can be written as a sum of positive squares in only one way, i.e., 217832225625 + 589971465216 = 466725^2 + 768096^2 .

It is not a de Polignac number, because 807803690841 - 25 = 807803690809 is a prime.

It is a super-3 number, since 3×8078036908413 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (807803690801) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2397043425 + ... + 2397043761.

Almost surely, 2807803690841 is an apocalyptic number.

807803690841 is the 898779-th square number.

807803690841 is the 449390-th centered octagonal number.

It is an amenable number.

807803690841 is a deficient number, since it is larger than the sum of its proper divisors (564369808518).

807803690841 is an equidigital number, since it uses as much as digits as its factorization.

807803690841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 807803690841 in words is "eight hundred seven billion, eight hundred three million, six hundred ninety thousand, eight hundred forty-one".

Divisors: 1 3 7 9 21 49 63 127 147 337 381 441 889 1011 1143 2359 2667 3033 6223 7077 8001 16129 16513 18669 21231 42799 48387 49539 56007 112903 113569 128397 145161 148617 299593 338709 340707 385191 790321 794983 898779 1016127 1022121 2097151 2370963 2384949 2696337 5435473 5564881 6291453 7112889 7154847 14423263 16306419 16694643 18874359 38048311 43269789 48919257 50083929 100962841 114144933 129809367 266338177 302888523 342434799 706739887 799014531 908665569 1831754401 2120219661 2397043593 5495263203 6360658983 12822280807 16485789609 38466842421 89755965649 115400527263 269267896947 807803690841