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82665210768189 = 37892939152919
BaseRepresentation
bin10010110010111011111110…
…100001011110101100111101
3101211200201100200010011222220
4102302323332201132230331
541313341322424040224
6451451512404555553
723261235661632210
oct2262737641365475
9354621320104886
1082665210768189
1124381134445875
1293310a39b2bb9
1337183b01c724a
14165b036225777
159854a26c3279
hex4b2efe85eb3d

82665210768189 has 48 divisors (see below), whose sum is σ = 127413260513280. Its totient is φ = 46700651479680.

The previous prime is 82665210768143. The next prime is 82665210768197. The reversal of 82665210768189 is 98186701256628.

It is not a de Polignac number, because 82665210768189 - 28 = 82665210767933 is a prime.

It is a super-2 number, since 2×826652107681892 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82665210768109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1562081872 + ... + 1562134790.

It is an arithmetic number, because the mean of its divisors is an integer number (2654442927360).

Almost surely, 282665210768189 is an apocalyptic number.

82665210768189 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

82665210768189 is a deficient number, since it is larger than the sum of its proper divisors (44748049745091).

82665210768189 is an equidigital number, since it uses as much as digits as its factorization.

82665210768189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62498 (or 62409 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 69.

The spelling of 82665210768189 in words is "eighty-two trillion, six hundred sixty-five billion, two hundred ten million, seven hundred sixty-eight thousand, one hundred eighty-nine".

Divisors: 1 3 7 21 89 267 623 1869 7921 9391 23763 28173 52919 55447 65737 158757 166341 197211 370433 835799 1111299 2507397 4709791 5850593 14129373 17551779 32968537 74386111 98905611 223158333 419171399 496962329 520702777 1257514197 1490886987 1562108331 2934199793 3478736303 8802599379 10436208909 44229647281 132688941843 309607530967 928822592901 3936438608009 11809315824027 27555070256063 82665210768189