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118113496416 = 2532410116307
BaseRepresentation
bin110111000000000011…
…1001110110101100000
3102021212112101022002100
41232000013032311200
53413344023341131
6130132142050400
711350651103646
oct1560007166540
9367775338070
10118113496416
1146100a98053
121aa83b79a00
13b1a43ca966
145a06993196
1531145617e6
hex1b801ced60

118113496416 has 36 divisors (see below), whose sum is σ = 335885256252. Its totient is φ = 39371165376.

The previous prime is 118113496357. The next prime is 118113496511. The reversal of 118113496416 is 614694311811.

It is a happy number.

118113496416 is a `hidden beast` number, since 1 + 1 + 8 + 113 + 496 + 41 + 6 = 666.

118113496416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1181134964163 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 205057866 + ... + 205058441.

It is an arithmetic number, because the mean of its divisors is an integer number (9330146007).

Almost surely, 2118113496416 is an apocalyptic number.

118113496416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

118113496416 is an abundant number, since it is smaller than the sum of its proper divisors (217771759836).

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

118113496416 is a wasteful number, since it uses less digits than its factorization.

118113496416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410116323 (or 410116312 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 118113496416 in words is "one hundred eighteen billion, one hundred thirteen million, four hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 410116307 820232614 1230348921 1640465228 2460697842 3280930456 3691046763 4921395684 6561860912 7382093526 9842791368 13123721824 14764187052 19685582736 29528374104 39371165472 59056748208 118113496416