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163116721980 = 223256719967967
BaseRepresentation
bin1001011111101010000…
…0111010011100111100
3120121000212220000210100
42113322200322130330
510133030340100410
6202533525241100
714533120155132
oct2277240723474
9517025800710
10163116721980
11631a5156553
1227743563190
13124c6b9b004
147c75821752
15439a3da8c0
hex25fa83a73c

163116721980 has 144 divisors (see below), whose sum is σ = 504703180800. Its totient is φ = 42632625024.

The previous prime is 163116721967. The next prime is 163116721997. The reversal of 163116721980 is 89127611361.

163116721980 is a `hidden beast` number, since 1 + 631 + 1 + 6 + 7 + 2 + 1 + 9 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2365957 + ... + 2433923.

It is an arithmetic number, because the mean of its divisors is an integer number (3504883200).

Almost surely, 2163116721980 is an apocalyptic number.

163116721980 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 163116721980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252351590400).

163116721980 is an abundant number, since it is smaller than the sum of its proper divisors (341586458820).

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

163116721980 is a wasteful number, since it uses less digits than its factorization.

163116721980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68248 (or 68243 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 163116721980 in words is "one hundred sixty-three billion, one hundred sixteen million, seven hundred twenty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 199 201 268 335 398 402 597 603 670 796 804 995 1005 1194 1206 1340 1791 1990 2010 2388 2412 2985 3015 3582 3980 4020 5970 6030 7164 8955 11940 12060 13333 17910 26666 35820 39999 53332 66665 67967 79998 119997 133330 135934 159996 199995 203901 239994 266660 271868 339835 399990 407802 479988 599985 611703 679670 799980 815604 1019505 1199970 1223406 1359340 2039010 2399940 2446812 3058515 4078020 4553789 6117030 9107578 12234060 13525433 13661367 18215156 22768945 27050866 27322734 40576299 40984101 45537890 54101732 54645468 67627165 68306835 81152598 81968202 91075780 121728897 135254330 136613670 162305196 163936404 202881495 204920505 243457794 270508660 273227340 405762990 409841010 486915588 608644485 811525980 819682020 906204011 1217288970 1812408022 2434577940 2718612033 3624816044 4531020055 5437224066 8155836099 9062040110 10874448132 13593060165 16311672198 18124080220 27186120330 32623344396 40779180495 54372240660 81558360990 163116721980