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116411504016 = 24319415358741
BaseRepresentation
bin110110001101010101…
…0101001010110010000
3102010110220210010102210
41230122222221112100
53401402321112031
6125251222312120
711260533312663
oct1543252512620
9363426703383
10116411504016
1145408293a65
121a689b88640
13ac92904572
1458c490d6da
153064e17746
hex1b1aaa9590

116411504016 has 160 divisors (see below), whose sum is σ = 330402602880. Its totient is φ = 35187609600.

The previous prime is 116411503981. The next prime is 116411504021. The reversal of 116411504016 is 610405114611.

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 31 ways as a sum of consecutive naturals, for example, 1952406 + ... + 2011146.

It is an arithmetic number, because the mean of its divisors is an integer number (2065016268).

Almost surely, 2116411504016 is an apocalyptic number.

116411504016 is a gapful number since it is divisible by the number (16) 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 116411504016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165201301440).

116411504016 is an abundant number, since it is smaller than the sum of its proper divisors (213991098864).

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

116411504016 is a wasteful number, since it uses less digits than its factorization.

116411504016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58865 (or 58859 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 116411504016 its reverse (610405114611), we get a palindrome (726816618627).

The spelling of 116411504016 in words is "one hundred sixteen billion, four hundred eleven million, five hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 53 57 76 82 106 114 123 152 159 164 212 228 246 304 318 328 424 456 492 636 656 779 848 912 984 1007 1272 1558 1968 2014 2173 2337 2544 3021 3116 4028 4346 4674 6042 6232 6519 8056 8692 9348 12084 12464 13038 16112 17384 18696 24168 26076 34768 37392 41287 48336 52152 58741 82574 104304 117482 123861 165148 176223 234964 247722 330296 352446 469928 495444 660592 704892 939856 990888 1116079 1409784 1981776 2232158 2408381 2819568 3113273 3348237 4464316 4816762 6226546 6696474 7225143 8928632 9339819 9633524 12453092 13392948 14450286 17857264 18679638 19267048 24906184 26785896 28900572 37359276 38534096 45759239 49812368 53571792 57801144 59152187 74718552 91518478 115602288 118304374 127644193 137277717 149437104 177456561 183036956 236608748 255288386 274555434 354913122 366073912 382932579 473217496 510576772 549110868 709826244 732147824 765865158 946434992 1021153544 1098221736 1419652488 1531730316 2042307088 2196443472 2425239667 2839304976 3063460632 4850479334 6126921264 7275719001 9700958668 14551438002 19401917336 29102876004 38803834672 58205752008 116411504016