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68349429414 = 23274131741737
BaseRepresentation
bin111111101001111100…
…011000011010100110
320112102101111202200200
4333221330120122212
52104434423220124
651222125251330
74636522364340
oct775174303246
9215371452620
1068349429414
1126a9451aa52
12112b6103b46
1365a34b6876
14344571a290
151ba0772bc9
hexfe9f186a6

68349429414 has 96 divisors (see below), whose sum is σ = 173925251136. Its totient is φ = 18991549440.

The previous prime is 68349429397. The next prime is 68349429419. The reversal of 68349429414 is 41492494386.

68349429414 is a `hidden beast` number, since 6 + 8 + 349 + 4 + 294 + 1 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68349429419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1616754 + ... + 1658490.

It is an arithmetic number, because the mean of its divisors is an integer number (1811721366).

Almost surely, 268349429414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68349429414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86962625568).

68349429414 is an abundant number, since it is smaller than the sum of its proper divisors (105575821722).

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

68349429414 is a wasteful number, since it uses less digits than its factorization.

68349429414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42110 (or 42107 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 68349429414 in words is "sixty-eight billion, three hundred forty-nine million, four hundred twenty-nine thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 317 369 574 634 738 861 951 1722 1902 2219 2583 2853 4438 5166 5706 6657 12997 13314 19971 25994 38991 39942 41737 77982 83474 90979 116973 125211 181958 233946 250422 272937 292159 375633 545874 584318 751266 818811 876477 1637622 1711217 1752954 2629431 3422434 5133651 5258862 10267302 11978519 13230629 15400953 23957038 26461258 30801906 35935557 39691887 71871114 79383774 92614403 107806671 119075661 185228806 215613342 238151322 277843209 542455789 555686418 833529627 1084911578 1627367367 1667059254 3254734734 3797190523 4882102101 7594381046 9764204202 11391571569 22783143138 34174714707 68349429414