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116963944218 = 233114310742797
BaseRepresentation
bin110110011101110011…
…0000010011100011010
3102011220102021222221000
41230323212002130122
53404020232203333
6125422115125430
711310322056552
oct1547346023432
9364812258830
10116963944218
1145671108510
121a802ba3876
13b0501ba664
145938036162
15309868d713
hex1b3b98271a

116963944218 has 128 divisors (see below), whose sum is σ = 292861578240. Its totient is φ = 34295002560.

The previous prime is 116963944211. The next prime is 116963944243. The reversal of 116963944218 is 812449369611.

116963944218 is a `hidden beast` number, since 1 + 169 + 6 + 39 + 442 + 1 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (116963944211) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2711596 + ... + 2754392.

It is an arithmetic number, because the mean of its divisors is an integer number (2287981080).

Almost surely, 2116963944218 is an apocalyptic number.

116963944218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116963944218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146430789120).

116963944218 is an abundant number, since it is smaller than the sum of its proper divisors (175897634022).

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

116963944218 is a wasteful number, since it uses less digits than its factorization.

116963944218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42969 (or 42963 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 116963944218 in words is "one hundred sixteen billion, nine hundred sixty-three million, nine hundred forty-four thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 107 129 198 214 258 297 321 387 473 594 642 774 946 963 1161 1177 1419 1926 2322 2354 2838 2889 3531 4257 4601 5778 7062 8514 9202 10593 12771 13803 21186 25542 27606 31779 41409 42797 50611 63558 82818 85594 101222 124227 128391 151833 248454 256782 303666 385173 455499 470767 770346 910998 941534 1155519 1366497 1412301 1840271 2311038 2732994 2824602 3680542 4236903 4579279 5520813 8473806 9158558 11041626 12710709 13737837 16562439 20242981 25421418 27475674 33124878 40485962 41213511 49687317 50372069 60728943 82427022 99374634 100744138 121457886 123640533 151116207 182186829 196908997 247281066 302232414 364373658 393817994 453348621 546560487 590726991 906697242 1093120974 1181453982 1360045863 1772180973 2165998967 2720091726 3544361946 4331997934 5316542919 6497996901 10633085838 12995993802 19493990703 38987981406 58481972109 116963944218