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9836420085 = 35541379521
BaseRepresentation
bin10010010100100101…
…11101101111110101
3221101111221220200000
421022102331233311
5130121110420320
64304020341513
7465520122402
oct111222755765
927344856600
109836420085
114198447aa8
121aa6244899
13c09b4541b
146945412a9
153c8849c90
hex24a4bdbf5

9836420085 has 96 divisors (see below), whose sum is σ = 18195166080. Its totient is φ = 5094835200.

The previous prime is 9836420057. The next prime is 9836420093. The reversal of 9836420085 is 5800246389.

9836420085 is a `hidden beast` number, since 9 + 8 + 364 + 200 + 85 = 666.

9836420085 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9836420085 - 28 = 9836419829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 9836420085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18879625 + ... + 18880145.

It is an arithmetic number, because the mean of its divisors is an integer number (189532980).

Almost surely, 29836420085 is an apocalyptic number.

It is an amenable number.

9836420085 is a deficient number, since it is larger than the sum of its proper divisors (8358745995).

9836420085 is a wasteful number, since it uses less digits than its factorization.

9836420085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 9836420085 is about 99178.7279863984. The cubic root of 9836420085 is about 2142.6226387093.

The spelling of 9836420085 in words is "nine billion, eight hundred thirty-six million, four hundred twenty thousand, eighty-five".

Divisors: 1 3 5 9 15 27 41 45 81 123 135 205 243 369 379 405 521 615 1107 1137 1215 1563 1845 1895 2605 3321 3411 4689 5535 5685 7815 9963 10233 14067 15539 16605 17055 21361 23445 30699 42201 46617 49815 51165 64083 70335 77695 92097 106805 126603 139851 153495 192249 197459 211005 233085 320415 419553 460485 576747 592377 633015 699255 961245 987295 1258659 1730241 1777131 2097765 2883735 2961885 3775977 5190723 5331393 6293295 8095819 8651205 8885655 15994179 18879885 24287457 25953615 26656965 40479095 47982537 72862371 79970895 121437285 218587113 239912685 364311855 655761339 1092935565 1967284017 3278806695 9836420085