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168831508673968 = 247173337119321673
BaseRepresentation
bin100110011000110100100110…
…000110011111010110110000
3211010210010122010100200002121
4212120310212012133112300
5134112113412210031333
61355024042505524024
750363450113333420
oct4630644606372660
9733703563320077
10168831508673968
114988204a244328
1216b288167a3614
13732898736841a
142d996baab8480
15147ba658b332d
hex998d2619f5b0

168831508673968 has 160 divisors (see below), whose sum is σ = 377451386672256. Its totient is φ = 71661221904384.

The previous prime is 168831508673957. The next prime is 168831508674011. The reversal of 168831508673968 is 869376805138861.

It is a super-2 number, since 2×1688315086739682 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7789935580 + ... + 7789957252.

Almost surely, 2168831508673968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168831508673968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188725693336128).

168831508673968 is an abundant number, since it is smaller than the sum of its proper divisors (208619877998288).

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

168831508673968 is a wasteful number, since it uses less digits than its factorization.

168831508673968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23391 (or 23385 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 79.

The spelling of 168831508673968 in words is "one hundred sixty-eight trillion, eight hundred thirty-one billion, five hundred eight million, six hundred seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 173 337 346 674 692 1193 1211 1348 1384 2359 2386 2422 2696 2768 4718 4772 4844 5392 8351 9436 9544 9688 16702 18872 19088 19376 21673 33404 37744 43346 58301 66808 86692 116602 133616 151711 173384 206389 233204 303422 346768 402041 408107 412778 466408 606844 804082 816214 825556 932816 1213688 1444723 1608164 1632428 1651112 2427376 2814287 2889446 3216328 3264856 3302224 3749429 5628574 5778892 6432656 6529712 7303801 7498858 11257148 11557784 14607602 14997716 22514296 23115568 25855889 26246003 29215204 29995432 45028592 51126607 51711778 52492006 58430408 59990864 69553093 102253214 103423556 104984012 116860816 139106186 180991223 204506428 206847112 209968024 278212372 361982446 409012856 413694224 419936048 486871651 556424744 723964892 818025712 973743302 1112849488 1263557573 1447929784 1947486604 2527115146 2895859568 3894973208 4473068797 5054230292 7789946416 8713434593 8844903011 8946137594 10108460584 17426869186 17689806022 17892275188 20216921168 31311481579 34853738372 35379612044 35784550376 60994042151 62622963158 69707476744 70759224088 71569100752 121988084302 125245926316 139414953488 141518448176 243976168604 250491852632 487952337208 500983705264 975904674416 1507424184589 3014848369178 6029696738356 10551969292123 12059393476712 21103938584246 24118786953424 42207877168492 84415754336984 168831508673968