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68418029196 = 2232116114919009
BaseRepresentation
bin111111101110000010…
…000100011010001100
320112121011120222220100
4333232002010122030
52110110003413241
651233015451100
74641314436606
oct775602043214
9215534528810
1068418029196
112701a214a90
1211315086a90
1365b4784c5a
143450896176
151ba67c39b6
hexfee08468c

68418029196 has 144 divisors (see below), whose sum is σ = 193057956000. Its totient is φ = 20254924800.

The previous prime is 68418029171. The next prime is 68418029209. The reversal of 68418029196 is 69192081486.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3589740 + ... + 3608748.

It is an arithmetic number, because the mean of its divisors is an integer number (1340680250).

Almost surely, 268418029196 is an apocalyptic number.

68418029196 is a gapful number since it is divisible by the number (66) 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 68418029196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96528978000).

68418029196 is an abundant number, since it is smaller than the sum of its proper divisors (124639926804).

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

68418029196 is a wasteful number, since it uses less digits than its factorization.

68418029196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19240 (or 19235 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 68418029196 in words is "sixty-eight billion, four hundred eighteen million, twenty-nine thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 149 183 198 244 298 366 396 447 549 596 671 732 894 1098 1341 1342 1639 1788 2013 2196 2682 2684 3278 4026 4917 5364 6039 6556 8052 9089 9834 12078 14751 18178 19009 19668 24156 27267 29502 36356 38018 54534 57027 59004 76036 81801 99979 109068 114054 163602 171081 199958 209099 228108 299937 327204 342162 399916 418198 599874 627297 684324 836396 899811 1159549 1199748 1254594 1799622 1881891 2319098 2509188 2832341 3478647 3599244 3763782 4638196 5664682 6957294 7527564 8497023 10435941 11329364 12755039 13914588 16994046 20871882 25491069 25510078 31155751 33988092 38265117 41743764 50982138 51020156 62311502 76530234 93467253 101964276 114795351 124623004 153060468 172772801 186934506 229590702 280401759 345545602 373869012 459181404 518318403 560803518 691091204 1036636806 1121607036 1554955209 1900500811 2073273612 3109910418 3801001622 5701502433 6219820836 7602003244 11403004866 17104507299 22806009732 34209014598 68418029196