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9868613916 = 2237261733769
BaseRepresentation
bin10010011000011011…
…10001100100011100
3221110202112112022010
421030031301210130
5130202331121131
64311130351220
7466360556100
oct111415614434
927422475263
109868613916
114204636777
121ab4b8b510
13c13707b25
14698921900
153cb5a8b46
hex24c37191c

9868613916 has 144 divisors (see below), whose sum is σ = 27605628960. Its totient is φ = 2734663680.

The previous prime is 9868613869. The next prime is 9868613921. The reversal of 9868613916 is 6193168689.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2616480 + ... + 2620248.

Almost surely, 29868613916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9868613916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13802814480).

9868613916 is an abundant number, since it is smaller than the sum of its proper divisors (17737015044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9868613916 is a wasteful number, since it uses less digits than its factorization.

9868613916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924 (or 3915 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 57.

The square root of 9868613916 is about 99340.8974994690. The cubic root of 9868613916 is about 2144.9576383851.

The spelling of 9868613916 in words is "nine billion, eight hundred sixty-eight million, six hundred thirteen thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 73 84 98 122 146 147 183 196 219 244 292 294 366 427 438 511 588 732 854 876 1022 1281 1533 1708 2044 2562 2989 3066 3577 3769 4453 5124 5978 6132 7154 7538 8906 8967 10731 11307 11956 13359 14308 15076 17812 17934 21462 22614 26383 26718 31171 35868 42924 45228 52766 53436 62342 79149 93513 105532 124684 158298 184681 187026 218197 229909 275137 316596 369362 374052 436394 459818 550274 554043 654591 689727 738724 825411 872788 919636 1100548 1108086 1309182 1379454 1609363 1650822 1925959 2216172 2618364 2758908 3218726 3301644 3851918 4828089 5777877 6437452 7703836 9656178 11265541 11555754 13481713 16783357 19312356 22531082 23111508 26963426 33566714 33796623 40445139 45062164 50350071 53926852 67133428 67593246 80890278 100700142 117483499 135186492 161780556 201400284 234966998 352450497 469933996 704900994 822384493 1409801988 1644768986 2467153479 3289537972 4934306958 9868613916