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168500370002244 = 22373122560981509
BaseRepresentation
bin100110010100000000001100…
…101100101101000101000100
3211002121110220111112020000120
4212110000030230231011010
5134041202224210032434
61354212000142541540
750330515151142420
oct4624001454550504
9732543814466016
10168500370002244
1149764673086095
1216a94600b978b0
1373036942a3997
142d87666203b80
151473134656349
hex99400cb2d144

168500370002244 has 144 divisors (see below), whose sum is σ = 464320371715200. Its totient is φ = 46587573204480.

The previous prime is 168500370002243. The next prime is 168500370002299. The reversal of 168500370002244 is 442200073005861.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 168500370002196 and 168500370002205.

It is not an unprimeable number, because it can be changed into a prime (168500370002243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2067220162 + ... + 2067301670.

It is an arithmetic number, because the mean of its divisors is an integer number (3224447025800).

Almost surely, 2168500370002244 is an apocalyptic number.

168500370002244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168500370002244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232160185857600).

168500370002244 is an abundant number, since it is smaller than the sum of its proper divisors (295820001712956).

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

168500370002244 is a wasteful number, since it uses less digits than its factorization.

168500370002244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107194 (or 107161 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 168500370002244 in words is "one hundred sixty-eight trillion, five hundred billion, three hundred seventy million, two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 961 1302 1922 2604 2883 3844 5766 6727 11532 13454 20181 25609 26908 40362 51218 76827 80724 81509 102436 153654 163018 179263 244527 307308 326036 358526 489054 537789 570563 717052 793879 978108 1075578 1141126 1587758 1711689 2151156 2282252 2381637 2526779 3175516 3423378 4763274 5053558 5557153 6846756 7580337 9526548 10107116 11114306 15160674 16671459 17687453 22228612 24610249 30321348 33342918 35374906 49220498 53062359 66685836 70749812 73830747 78330149 98440996 106124718 147661494 156660298 172271743 212249436 234990447 295322988 313320596 344543486 469980894 516815229 548311043 689086972 939961788 1033630458 1096622086 1644933129 2067260916 2087363981 2193244172 3289866258 4174727962 6262091943 6579732516 8349455924 12524183886 14611547867 25048367772 29223095734 43834643601 58446191468 64708283411 87669287202 129416566822 175338574404 194124850233 258833133644 388249700466 452957983877 776499400932 905915967754 1358873951631 1811831935508 2005956785741 2717747903262 4011913571482 5435495806524 6017870357223 8023827142964 12035740714446 14041697500187 24071481428892 28083395000374 42125092500561 56166790000748 84250185001122 168500370002244