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116341111672416 = 25321074001943601
BaseRepresentation
bin11010011100111111000110…
…101000100100111001100000
3120020221002202002212201010100
4122130333012220210321200
5110222113044042004131
61051234211401502400
733335240126433561
oct3234770650447140
9506832662781110
10116341111672416
1134084a96594914
121106b82aaa1a00
134cbbbc591bc27
1420a2d22d3a168
15d6b4752307e6
hex69cfc6a24e60

116341111672416 has 144 divisors (see below), whose sum is σ = 334020863384208. Its totient is φ = 38408294400000.

The previous prime is 116341111672361. The next prime is 116341111672433. The reversal of 116341111672416 is 614276111143611.

116341111672416 is a `hidden beast` number, since 1 + 1 + 6 + 341 + 1 + 1 + 1 + 67 + 241 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122823016 + ... + 123766616.

It is an arithmetic number, because the mean of its divisors is an integer number (2319589329057).

Almost surely, 2116341111672416 is an apocalyptic number.

116341111672416 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 116341111672416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167010431692104).

116341111672416 is an abundant number, since it is smaller than the sum of its proper divisors (217679751711792).

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

116341111672416 is a wasteful number, since it uses less digits than its factorization.

116341111672416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947725 (or 947714 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 116341111672416 in words is "one hundred sixteen trillion, three hundred forty-one billion, one hundred eleven million, six hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1712 1926 2568 3424 3852 4001 5136 7704 8002 10272 12003 15408 16004 24006 30816 32008 36009 48012 64016 72018 96024 128032 144036 192048 288072 384096 428107 576144 856214 943601 1152288 1284321 1712428 1887202 2568642 2830803 3424856 3774404 3852963 5137284 5661606 6849712 7548808 7705926 8492409 10274568 11323212 13699424 15097616 15411852 16984818 20549136 22646424 30195232 30823704 33969636 41098272 45292848 61647408 67939272 90585696 100965307 123294816 135878544 201930614 271757088 302895921 403861228 605791842 807722456 908687763 1211583684 1615444912 1817375526 2423167368 3230889824 3634751052 3775347601 4846334736 7269502104 7550695202 9692669472 11326042803 14539004208 15101390404 22652085606 29078008416 30202780808 33978128409 45304171212 60405561616 67956256818 90608342424 120811123232 135912513636 181216684848 271825027272 362433369696 403962193307 543650054544 807924386614 1087300109088 1211886579921 1615848773228 2423773159842 3231697546456 3635659739763 4847546319684 6463395092912 7271319479526 9695092639368 12926790185824 14542638959052 19390185278736 29085277918104 38780370557472 58170555836208 116341111672416