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168963385360 = 24571133618161
BaseRepresentation
bin1001110101011100000…
…0001010100000010000
3121011010100102022011111
42131113000022200100
510232014111312420
6205342023423104
715131033036020
oct2352700124020
9534110368144
10168963385360
1165725476260
12288b55b4a94
1312c1926a243
14826c117a80
1545dd83545a
hex275700a810

168963385360 has 160 divisors (see below), whose sum is σ = 489980139264. Its totient is φ = 52641792000.

The previous prime is 168963385301. The next prime is 168963385403. The reversal of 168963385360 is 63583369861.

It is a junction number, because it is equal to n+sod(n) for n = 168963385295 and 168963385304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20699680 + ... + 20707840.

Almost surely, 2168963385360 is an apocalyptic number.

168963385360 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 168963385360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244990069632).

168963385360 is an abundant number, since it is smaller than the sum of its proper divisors (321016753904).

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

168963385360 is a wasteful number, since it uses less digits than its factorization.

168963385360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11553 (or 11547 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 58.

The spelling of 168963385360 in words is "one hundred sixty-eight billion, nine hundred sixty-three million, three hundred eighty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 3361 6160 6722 8161 13444 16322 16805 23527 26888 32644 33610 36971 40805 47054 53776 57127 65288 67220 73942 81610 89771 94108 114254 117635 130576 134440 147884 163220 179542 184855 188216 228508 235270 258797 268880 285635 295768 326440 359084 369710 376432 448855 457016 470540 517594 571270 591536 628397 652880 718168 739420 897710 914032 941080 1035188 1142540 1256794 1293985 1436336 1478840 1795420 1882160 2070376 2285080 2513588 2587970 2957680 3141985 3590840 4140752 4570160 5027176 5175940 6283970 7181680 10054352 10351880 12567940 20703760 25135880 27429121 50271760 54858242 109716484 137145605 192003847 219432968 274291210 301720331 384007694 438865936 548582420 603440662 768015388 960019235 1097164840 1206881324 1508601655 1536030776 1920038470 2112042317 2194329680 2413762648 3017203310 3072061552 3840076940 4224084634 4827525296 6034406620 7680153880 8448169268 10560211585 12068813240 15360307760 16896338536 21120423170 24137626480 33792677072 42240846340 84481692680 168963385360