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9890857688085 = 3251144094531987
BaseRepresentation
bin1000111111101110010100…
…0011110001110000010101
31022000120000212201100022200
42033323211003301300111
52244022434032004320
633011444114315113
72040406450115223
oct217734503616025
938016025640280
109890857688085
113173764346740
121138ab8288a99
1356991c55c07a
14262a11c0db13
1512243d2ba290
hex8fee50f1c15

9890857688085 has 48 divisors (see below), whose sum is σ = 18706958786880. Its totient is φ = 4794478629120.

The previous prime is 9890857688083. The next prime is 9890857688093. The reversal of 9890857688085 is 5808867580989.

It is a happy number.

It is not a de Polignac number, because 9890857688085 - 21 = 9890857688083 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9890857687995 and 9890857688013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9890857688083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83539 + ... + 4448448.

It is an arithmetic number, because the mean of its divisors is an integer number (389728308060).

Almost surely, 29890857688085 is an apocalyptic number.

It is an amenable number.

9890857688085 is a deficient number, since it is larger than the sum of its proper divisors (8816101098795).

9890857688085 is a wasteful number, since it uses less digits than its factorization.

9890857688085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536418 (or 4536415 counting only the distinct ones).

The product of its (nonzero) digits is 2786918400, while the sum is 81.

The spelling of 9890857688085 in words is "nine trillion, eight hundred ninety billion, eight hundred fifty-seven million, six hundred eighty-eight thousand, eighty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 4409 13227 22045 39681 48499 66135 145497 198405 242495 436491 727485 2182455 4531987 13595961 22659935 40787883 49851857 67979805 149555571 203939415 249259285 448666713 747777855 2243333565 19981530683 59944592049 99907653415 179833776147 219796837513 299722960245 659390512539 899168880735 1098984187565 1978171537617 3296952562695 9890857688085