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99233273260 = 2251140910091093
BaseRepresentation
bin101110001101011000…
…0111001010110101100
3100111010201220120220001
41130122300321112230
53111212204221020
6113330453234044
710112043622402
oct1343260712654
9314121816801
1099233273260
11390a2660a40
1217295032924
139485a09694
144b352b7472
1528abc8650a
hex171ac395ac

99233273260 has 96 divisors (see below), whose sum is σ = 228324801600. Its totient is φ = 35928023040.

The previous prime is 99233273189. The next prime is 99233273267. The reversal of 99233273260 is 6237233299.

It is a self number, because there is not a number n which added to its sum of digits gives 99233273260.

It is not an unprimeable number, because it can be changed into a prime (99233273267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90789274 + ... + 90790366.

It is an arithmetic number, because the mean of its divisors is an integer number (2378383350).

Almost surely, 299233273260 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 99233273260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114162400800).

99233273260 is an abundant number, since it is smaller than the sum of its proper divisors (129091528340).

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

99233273260 is a wasteful number, since it uses less digits than its factorization.

99233273260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 46.

The spelling of 99233273260 in words is "ninety-nine billion, two hundred thirty-three million, two hundred seventy-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 409 818 1009 1093 1636 2018 2045 2186 4036 4090 4372 4499 5045 5465 8180 8998 10090 10930 11099 12023 17996 20180 21860 22198 22495 24046 44396 44990 48092 55495 60115 89980 110990 120230 221980 240460 412681 447037 825362 894074 1102837 1650724 1788148 2063405 2205674 2235185 4126810 4411348 4470370 4539491 4917407 5514185 8253620 8940740 9078982 9834814 11028370 12131207 18157964 19669628 22056740 22697455 24262414 24587035 45394910 48524828 49174070 60656035 90789820 98348140 121312070 242624140 451060333 902120666 1804241332 2255301665 4510603330 4961663663 9021206660 9923327326 19846654652 24808318315 49616636630 99233273260