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98304136164 = 223313128954319
BaseRepresentation
bin101101110001101100…
…0100001001111100100
3100101201222120112102000
41123203120201033210
53102311324324124
6113054342445300
710050032241033
oct1334330411744
9311658515360
1098304136164
1138766138543
1217075a33830
139368380a10
144a87b3471a
1528554016c9
hex16e36213e4

98304136164 has 96 divisors (see below), whose sum is σ = 274685376000. Its totient is φ = 30223404288.

The previous prime is 98304136163. The next prime is 98304136241. The reversal of 98304136164 is 46163140389.

98304136164 is a `hidden beast` number, since 98 + 30 + 413 + 61 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (98304136163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1782597 + ... + 1836915.

It is an arithmetic number, because the mean of its divisors is an integer number (2861306000).

Almost surely, 298304136164 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 98304136164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137342688000).

98304136164 is an abundant number, since it is smaller than the sum of its proper divisors (176381239836).

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

98304136164 is a wasteful number, since it uses less digits than its factorization.

98304136164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55634 (or 55626 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 98304136164 in words is "ninety-eight billion, three hundred four million, one hundred thirty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1289 1404 2578 3867 5156 7734 11601 15468 16757 23202 33514 34803 46404 50271 54319 67028 69606 100542 108638 139212 150813 162957 201084 217276 301626 325914 452439 488871 603252 651828 706147 904878 977742 1412294 1466613 1809756 1955484 2118441 2824588 2933226 4236882 5866452 6355323 8473764 12710646 19065969 25421292 38131938 70017191 76263876 140034382 210051573 280068764 420103146 630154719 840206292 910223483 1260309438 1820446966 1890464157 2520618876 2730670449 3640893932 3780928314 5461340898 7561856628 8192011347 10922681796 16384022694 24576034041 32768045388 49152068082 98304136164