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116863181200 = 24524310167271
BaseRepresentation
bin110110011010110010…
…1101010000110010000
3102011122101200201001101
41230311211222012100
53403313433244300
6125404115314144
711304656436043
oct1546545520620
9364571621041
10116863181200
114561a245797
121a7952ab954
13b03536a77c
1459288c6c5a
15308e8d7b6a
hex1b3596a190

116863181200 has 120 divisors (see below), whose sum is σ = 290141983296. Its totient is φ = 45205440000.

The previous prime is 116863181191. The next prime is 116863181203. The reversal of 116863181200 is 2181368611.

It is a self number, because there is not a number n which added to its sum of digits gives 116863181200.

It is not an unprimeable number, because it can be changed into a prime (116863181203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1703565 + ... + 1770835.

Almost surely, 2116863181200 is an apocalyptic number.

116863181200 is a gapful number since it is divisible by the number (10) 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 116863181200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145070991648).

116863181200 is an abundant number, since it is smaller than the sum of its proper divisors (173278802096).

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

116863181200 is a wasteful number, since it uses less digits than its factorization.

116863181200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67433 (or 67422 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 116863181200 in words is "one hundred sixteen billion, eight hundred sixty-three million, one hundred eighty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 101 172 200 202 215 344 400 404 430 505 688 808 860 1010 1075 1616 1720 2020 2150 2525 3440 4040 4300 4343 5050 8080 8600 8686 10100 17200 17372 20200 21715 34744 40400 43430 67271 69488 86860 108575 134542 173720 217150 269084 336355 347440 434300 538168 672710 868600 1076336 1345420 1681775 1737200 2690840 2892653 3363550 5381680 5785306 6727100 6794371 11570612 13454200 13588742 14463265 23141224 26908400 27177484 28926530 33971855 46282448 54354968 57853060 67943710 72316325 108709936 115706120 135887420 144632650 169859275 231412240 271774840 289265300 292157953 339718550 543549680 578530600 584315906 679437100 1157061200 1168631812 1358874200 1460789765 2337263624 2717748400 2921579530 4674527248 5843159060 7303948825 11686318120 14607897650 23372636240 29215795300 58431590600 116863181200