Search a number
-
+
78329109105 = 33513313673923
BaseRepresentation
bin100100011110011000…
…1110101101001110001
321111011220001000121000
41020330301311221301
52240404222442410
655552304352213
75442032304402
oct1107461655161
9244156030530
1078329109105
1130245816015
1213220315669
137503c0ab90
143b10cad9a9
152086969dc0
hex123cc75a71

78329109105 has 128 divisors (see below), whose sum is σ = 155262320640. Its totient is φ = 37206915840.

The previous prime is 78329109049. The next prime is 78329109151. The reversal of 78329109105 is 50190192387.

It is not a de Polignac number, because 78329109105 - 29 = 78329108593 is a prime.

It is a super-2 number, since 2×783291091052 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 19964674 + ... + 19968596.

It is an arithmetic number, because the mean of its divisors is an integer number (1212986880).

Almost surely, 278329109105 is an apocalyptic number.

It is an amenable number.

78329109105 is a deficient number, since it is larger than the sum of its proper divisors (76933211535).

78329109105 is a wasteful number, since it uses less digits than its factorization.

78329109105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4348 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 78329109105 in words is "seventy-eight billion, three hundred twenty-nine million, one hundred nine thousand, one hundred five".

Divisors: 1 3 5 9 13 15 27 31 39 45 65 93 117 135 155 195 279 351 367 403 465 585 837 1101 1209 1395 1755 1835 2015 3303 3627 3923 4185 4771 5505 6045 9909 10881 11377 11769 14313 16515 18135 19615 23855 34131 35307 42939 49545 50999 54405 56885 58845 71565 102393 105921 121613 128817 147901 152997 170655 176535 214695 254995 307179 364839 443703 458991 511965 529605 608065 644085 739505 764985 1094517 1331109 1376973 1439741 1535895 1580969 1824195 2218515 2294955 3283551 3993327 4319223 4742907 5472585 6655545 6884865 7198705 7904845 12957669 14228721 16417755 18716633 19966635 21596115 23714535 38873007 42686163 44631971 56149899 64788345 71143605 93583165 133895913 168449697 194365035 213430815 223159855 280749495 401687739 505349091 580215623 669479565 842248485 1205063217 1740646869 2008438695 2526745455 2901078115 5221940607 6025316085 8703234345 15665821821 26109703035 78329109105