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117170653860 = 2232513449111521
BaseRepresentation
bin110110100011111101…
…0100100101010100100
3102012102211020221020200
41231013322210222210
53404431141410420
6125454421430500
711315412060561
oct1550772445244
9365384227220
10117170653860
1145767863527
121a86026b430
13b083c83960
145957683868
1530ab8c0b90
hex1b47ea4aa4

117170653860 has 144 divisors (see below), whose sum is σ = 383613375600. Its totient is φ = 28777512960.

The previous prime is 117170653813. The next prime is 117170653867. The reversal of 117170653860 is 68356071711.

It can be written as a sum of positive squares in 8 ways, for example, as 6457408164 + 110713245696 = 80358^2 + 332736^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (117170653867) 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 47 ways as a sum of consecutive naturals, for example, 994900 + ... + 1106420.

It is an arithmetic number, because the mean of its divisors is an integer number (2663981775).

Almost surely, 2117170653860 is an apocalyptic number.

117170653860 is a gapful number since it is divisible by the number (10) 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 117170653860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191806687800).

117170653860 is an abundant number, since it is smaller than the sum of its proper divisors (266442721740).

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

117170653860 is a wasteful number, since it uses less digits than its factorization.

117170653860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111998 (or 111993 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 117170653860 in words is "one hundred seventeen billion, one hundred seventy million, six hundred fifty-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 449 468 585 780 898 1170 1347 1796 2245 2340 2694 4041 4490 5388 5837 6735 8082 8980 11674 13470 16164 17511 20205 23348 26940 29185 35022 40410 52533 58370 70044 80820 87555 105066 111521 116740 175110 210132 223042 262665 334563 350220 446084 525330 557605 669126 1003689 1050660 1115210 1338252 1449773 1672815 2007378 2230420 2899546 3345630 4014756 4349319 5018445 5799092 6691260 7248865 8698638 10036890 13047957 14497730 17397276 20073780 21746595 26095914 28995460 43493190 50072929 52191828 65239785 86986380 100145858 130479570 150218787 200291716 250364645 260959140 300437574 450656361 500729290 600875148 650948077 751093935 901312722 1001458580 1301896154 1502187870 1802625444 1952844231 2253281805 2603792308 3004375740 3254740385 3905688462 4506563610 5858532693 6509480770 7811376924 9013127220 9764221155 11717065386 13018961540 19528442310 23434130772 29292663465 39056884620 58585326930 117170653860