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9949118868 = 2235132692927
BaseRepresentation
bin10010100010000001…
…11000000110010100
3221200101000121100000
421101000320012110
5130333433300433
64323124051300
7501356054313
oct112100700624
927611017300
109949118868
114246022297
121b17b33b30
13c272b3cb0
146a54ba27a
153d36ac113
hex251038194

9949118868 has 144 divisors (see below), whose sum is σ = 28200856320. Its totient is φ = 3048845184.

The previous prime is 9949118863. The next prime is 9949118911. The reversal of 9949118868 is 8688119499.

9949118868 is a `hidden beast` number, since 9 + 9 + 491 + 1 + 88 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9949118863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3397621 + ... + 3400547.

It is an arithmetic number, because the mean of its divisors is an integer number (195839280).

Almost surely, 29949118868 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 9949118868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100428160).

9949118868 is an abundant number, since it is smaller than the sum of its proper divisors (18251737452).

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

9949118868 is a wasteful number, since it uses less digits than its factorization.

9949118868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3214 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 63.

The square root of 9949118868 is about 99745.2699028881. The cubic root of 9949118868 is about 2150.7744725996.

The spelling of 9949118868 in words is "nine billion, nine hundred forty-nine million, one hundred eighteen thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 269 324 351 468 486 538 702 807 972 1053 1076 1404 1614 2106 2421 2927 3159 3228 3497 4212 4842 5854 6318 6994 7263 8781 9684 10491 11708 12636 13988 14526 17562 20982 21789 26343 29052 31473 35124 38051 41964 43578 52686 62946 65367 76102 79029 87156 94419 105372 114153 125892 130734 152204 158058 188838 228306 237087 261468 283257 316116 342459 377676 456612 474174 566514 684918 711261 787363 849771 948348 1027377 1133028 1369836 1422522 1574726 1699542 2054754 2362089 2845044 3082131 3149452 3399084 4109508 4724178 6164262 7086267 9246393 9448356 10235719 12328524 14172534 18492786 20471438 21258801 28345068 30707157 36985572 40942876 42517602 61414314 63776403 85035204 92121471 122828628 127552806 184242942 191329209 255105612 276364413 368485884 382658418 552728826 765316836 829093239 1105457652 1658186478 2487279717 3316372956 4974559434 9949118868