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168844328253920 = 25511216752223341
BaseRepresentation
bin100110011001000000100010…
…001101010011100111100000
3211010211100201112122210210002
4212121000202031103213200
5134112321141013111140
61355034002533555132
750364412566063164
oct4631004215234740
9733740645583702
10168844328253920
114988752859a500
1216b2b1b3aa5aa8
137329c4b249ca7
142d9a1754baca4
15147c066077415
hex9990223539e0

168844328253920 has 144 divisors (see below), whose sum is σ = 441080017678944. Its totient is φ = 61030284057600.

The previous prime is 168844328253919. The next prime is 168844328253929. The reversal of 168844328253920 is 29352823448861.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168844328253929) 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 23 ways as a sum of consecutive naturals, for example, 22878551 + ... + 29344790.

It is an arithmetic number, because the mean of its divisors is an integer number (3063055678326).

Almost surely, 2168844328253920 is an apocalyptic number.

168844328253920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168844328253920 is an abundant number, since it is smaller than the sum of its proper divisors (272235689425024).

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

168844328253920 is a wasteful number, since it uses less digits than its factorization.

168844328253920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52223545 (or 52223526 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 65.

The spelling of 168844328253920 in words is "one hundred sixty-eight trillion, eight hundred forty-four billion, three hundred twenty-eight million, two hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 167 176 220 242 334 352 440 484 605 668 835 880 968 1210 1336 1670 1760 1837 1936 2420 2672 3340 3674 3872 4840 5344 6680 7348 9185 9680 13360 14696 18370 19360 20207 26720 29392 36740 40414 58784 73480 80828 101035 146960 161656 202070 293920 323312 404140 646624 808280 1616560 3233120 52223341 104446682 208893364 261116705 417786728 522233410 574456751 835573456 1044466820 1148913502 1671146912 2088933640 2297827004 2872283755 4177867280 4595654008 5744567510 6319024261 8355734560 8721297947 9191308016 11489135020 12638048522 17442595894 18382616032 22978270040 25276097044 31595121305 34885191788 43606489735 45956540080 50552194088 63190242610 69770383576 87212979470 91913080160 95934277417 101104388176 126380485220 139540767152 174425958940 191868554834 202208776352 252760970440 279081534304 348851917880 383737109668 479671387085 505521940880 697703835760 767474219336 959342774170 1011043881760 1055277051587 1395407671520 1534948438672 1918685548340 2110554103174 3069896877344 3837371096680 4221108206348 5276385257935 7674742193360 8442216412696 10552770515870 15349484386720 16884432825392 21105541031740 33768865650784 42211082063480 84422164126960 168844328253920