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809140700053503 = 32893494378366109
BaseRepresentation
bin1011011111111010001011111…
…1111111111111111111111111
310221002221002120121022100020200
42313332202333333333333333
51322023430123203203003
611544522034523014543
7332301325563225666
oct26776427777777777
93832832517270220
10809140700053503
112148a9709a20074
1276900a7b36a453
1328964843577ccc
14103b4894155ddd
156382916d3d6a3
hex2dfe8bfffffff

809140700053503 has 48 divisors (see below), whose sum is σ = 1185322418280000. Its totient is φ = 531817692747264.

The previous prime is 809140700053339. The next prime is 809140700053541. The reversal of 809140700053503 is 305350007041908.

809140700053503 is a `hidden beast` number, since 8 + 0 + 9 + 1 + 40 + 70 + 0 + 0 + 535 + 0 + 3 = 666.

It is a Cunningham number, because it is equal to 931843-1.

It is a de Polignac number, because none of the positive numbers 2k-809140700053503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809140700033503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (43) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12239460813 + ... + 12239526921.

It is an arithmetic number, because the mean of its divisors is an integer number (24694217047500).

Almost surely, 2809140700053503 is an apocalyptic number.

809140700053503 is a deficient number, since it is larger than the sum of its proper divisors (376181718226497).

809140700053503 is a wasteful number, since it uses less digits than its factorization.

809140700053503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110336 (or 110333 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 809140700053503 in words is "eight hundred nine trillion, one hundred forty billion, seven hundred million, fifty-three thousand, five hundred three".

Divisors: 1 3 9 89 267 349 801 1047 3141 31061 43783 66109 93183 131349 198327 279549 394047 594981 3896687 5883701 11690061 15280267 17651103 23072041 35070183 45840801 52953309 69216123 137522403 207648369 1359943763 2053411649 2894450347 4079831289 6160234947 8683351041 12239493867 18480704841 26050053123 257606080883 772818242649 1010163171103 2318454727947 3030489513309 9091468539927 89904522228167 269713566684501 809140700053503