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116131218176 = 2817412512593
BaseRepresentation
bin110110000100111110…
…1011100001100000000
3102002202101101010112202
41230021331130030000
53400314042440201
6125203331012332
711250561032051
oct1541175341400
9362671333482
10116131218176
1145284055076
121a61013a0a8
13ac49819a5c
1458995cc728
15304a4eec6b
hex1b09f5c300

116131218176 has 144 divisors (see below), whose sum is σ = 252530133408. Its totient is φ = 53084160000.

The previous prime is 116131218173. The next prime is 116131218191. The reversal of 116131218176 is 671812131611.

It is not an unprimeable number, because it can be changed into a prime (116131218173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44785136 + ... + 44787728.

It is an arithmetic number, because the mean of its divisors is an integer number (1753681482).

Almost surely, 2116131218176 is an apocalyptic number.

116131218176 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 116131218176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126265066704).

116131218176 is an abundant number, since it is smaller than the sum of its proper divisors (136398915232).

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

116131218176 is a wasteful number, since it uses less digits than its factorization.

116131218176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2904 counting only the distinct ones).

The product of its digits is 12096, while the sum is 38.

Adding to 116131218176 its reverse (671812131611), we get a palindrome (787943349787).

The spelling of 116131218176 in words is "one hundred sixteen billion, one hundred thirty-one million, two hundred eighteen thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 128 136 164 251 256 272 328 502 544 656 697 1004 1088 1312 1394 2008 2176 2593 2624 2788 4016 4267 4352 5186 5248 5576 8032 8534 10291 10372 10496 11152 16064 17068 20582 20744 22304 32128 34136 41164 41488 44081 44608 64256 68272 82328 82976 88162 89216 106313 136544 164656 165952 174947 176324 178432 212626 273088 329312 331904 349894 352648 425252 546176 650843 658624 663808 699788 705296 850504 1092352 1301686 1317248 1399576 1410592 1701008 1807321 2603372 2634496 2799152 2821184 3402016 3614642 5206744 5598304 5642368 6804032 7229284 10413488 11064331 11196608 11284736 13608064 14458568 20826976 22128662 22393216 26684563 27216128 28917136 41653952 44257324 44786432 53369126 57834272 83307904 88514648 106738252 115668544 166615808 177029296 213476504 231337088 354058592 426953008 453637571 462674176 708117184 853906016 907275142 1416234368 1707812032 1814550284 2832468736 3415624064 3629100568 6831248128 7258201136 14516402272 29032804544 58065609088 116131218176