Search a number
-
+
168179853940 = 225719233927031
BaseRepresentation
bin1001110010100001001…
…1001110101001110100
3121002002202001210010021
42130220103032221310
510223413020311230
6205132153534524
715102440112610
oct2345023165164
9532082053107
10168179853940
116536316352a
1228717114444
1312b22b32297
1481d6038340
154594b62c7a
hex27284cea74

168179853940 has 96 divisors (see below), whose sum is σ = 425072793600. Its totient is φ = 54601464960.

The previous prime is 168179853871. The next prime is 168179853991. The reversal of 168179853940 is 49358971861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6208225 + ... + 6235255.

It is an arithmetic number, because the mean of its divisors is an integer number (4427841600).

Almost surely, 2168179853940 is an apocalyptic number.

168179853940 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 168179853940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212536396800).

168179853940 is an abundant number, since it is smaller than the sum of its proper divisors (256892939660).

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

168179853940 is a wasteful number, since it uses less digits than its factorization.

168179853940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29405 (or 29403 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 61.

The spelling of 168179853940 in words is "one hundred sixty-eight billion, one hundred seventy-nine million, eight hundred fifty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2339 2660 4678 9356 11695 16373 23390 27031 32746 44441 46780 54062 65492 81865 88882 108124 135155 163730 177764 189217 222205 270310 311087 327460 378434 444410 513589 540620 622174 756868 888820 946085 1027178 1244348 1555435 1892170 2054356 2567945 3110870 3595123 3784340 5135890 6221740 7190246 10271780 14380492 17975615 35951230 63225509 71902460 126451018 252902036 316127545 442578563 632255090 885157126 1201284671 1264510180 1770314252 2212892815 2402569342 4425785630 4805138684 6006423355 8408992697 8851571260 12012846710 16817985394 24025693420 33635970788 42044963485 84089926970 168179853940