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78159820116 = 223741129117579
BaseRepresentation
bin100100011001010110…
…0000011010101010100
321110202002111020202110
41020302230003111110
52240032403220431
655523420111020
75434605336450
oct1106254032524
9243662436673
1078159820116
11301691a9764
1213193695470
1374a7b17391
143ad6603660
152076b7a346
hex1232b03554

78159820116 has 96 divisors (see below), whose sum is σ = 213687290880. Its totient is φ = 21768595200.

The previous prime is 78159820051. The next prime is 78159820121. The reversal of 78159820116 is 61102895187.

It is a happy number.

It is a super-3 number, since 3×781598201163 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4437415 + ... + 4454993.

It is an arithmetic number, because the mean of its divisors is an integer number (2225909280).

Almost surely, 278159820116 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 78159820116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106843645440).

78159820116 is an abundant number, since it is smaller than the sum of its proper divisors (135527470764).

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

78159820116 is a wasteful number, since it uses less digits than its factorization.

78159820116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18925 (or 18923 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 48.

The spelling of 78159820116 in words is "seventy-eight billion, one hundred fifty-nine million, eight hundred twenty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1291 1722 2582 3444 3873 5164 7746 9037 15492 17579 18074 27111 35158 36148 52737 52931 54222 70316 105474 105862 108444 123053 158793 210948 211724 246106 317586 369159 370517 492212 635172 720739 738318 741034 1111551 1441478 1476636 1482068 2162217 2223102 2882956 4324434 4446204 5045173 8648868 10090346 15135519 20180692 22694489 30271038 45388978 60542076 68083467 90777956 136166934 158861423 272333868 317722846 476584269 635445692 930474049 953168538 1860948098 1906337076 2791422147 3721896196 5582844294 6513318343 11165688588 13026636686 19539955029 26053273372 39079910058 78159820116