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118986085120 = 285714299293
BaseRepresentation
bin110111011010000011…
…1111001001100000000
3102101010100022101202111
41232310013321030000
53422140414210440
6130354512425104
711411405015230
oct1566407711400
9371110271674
10118986085120
11465095a7941
121b088248194
13b2b3117736
145a8a815cc0
153165e764ea
hex1bb41f9300

118986085120 has 144 divisors (see below), whose sum is σ = 325987421760. Its totient is φ = 40762294272.

The previous prime is 118986085111. The next prime is 118986085123. The reversal of 118986085120 is 21580689811.

It is not an unprimeable number, because it can be changed into a prime (118986085123) 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 15 ways as a sum of consecutive naturals, for example, 12799194 + ... + 12808486.

It is an arithmetic number, because the mean of its divisors is an integer number (2263801540).

Almost surely, 2118986085120 is an apocalyptic number.

118986085120 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 118986085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162993710880).

118986085120 is an abundant number, since it is smaller than the sum of its proper divisors (207001336640).

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

118986085120 is an equidigital number, since it uses as much as digits as its factorization.

118986085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10750 (or 10736 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 49.

The spelling of 118986085120 in words is "one hundred eighteen billion, nine hundred eighty-six million, eighty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1429 1792 2240 2858 4480 5716 7145 8960 9293 10003 11432 14290 18586 20006 22864 28580 37172 40012 45728 46465 50015 57160 65051 74344 80024 91456 92930 100030 114320 130102 148688 160048 182912 185860 200060 228640 260204 297376 320096 325255 365824 371720 400120 457280 520408 594752 640192 650510 743440 800240 914560 1040816 1189504 1280384 1301020 1486880 1600480 1829120 2081632 2379008 2560768 2602040 2973760 3200960 4163264 5204080 5947520 6401920 8326528 10408160 11895040 12803840 13279697 16653056 20816320 26559394 41632640 53118788 66398485 83265280 92957879 106237576 132796970 185915758 212475152 265593940 371831516 424950304 464789395 531187880 743663032 849900608 929578790 1062375760 1487326064 1699801216 1859157580 2124751520 2974652128 3399602432 3718315160 4249503040 5949304256 7436630320 8499006080 11898608512 14873260640 16998012160 23797217024 29746521280 59493042560 118986085120