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8308442016 = 2532710633877
BaseRepresentation
bin1111011110011100…
…01100001110100000
3210110000210120210200
413233032030032200
5114003430121031
63452234425200
7412614410010
oct75716141640
923400716720
108308442016
113583998506
12173a592200
13a254085a4
1458b637c40
153396258e6
hex1ef38c3a0

8308442016 has 144 divisors (see below), whose sum is σ = 27034809984. Its totient is φ = 2370995712.

The previous prime is 8308441991. The next prime is 8308442027. The reversal of 8308442016 is 6102448038.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 2141070 + ... + 2144946.

It is an arithmetic number, because the mean of its divisors is an integer number (187741736).

Almost surely, 28308442016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8308442016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517404992).

8308442016 is an abundant number, since it is smaller than the sum of its proper divisors (18726367968).

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

8308442016 is a wasteful number, since it uses less digits than its factorization.

8308442016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4963 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8308442016 is about 91150.6555983006. The cubic root of 8308442016 is about 2025.3800651051.

The spelling of 8308442016 in words is "eight billion, three hundred eight million, four hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1063 2016 2126 3189 3877 4252 6378 7441 7754 8504 9567 11631 12756 14882 15508 17008 19134 22323 23262 25512 27139 29764 31016 34016 34893 38268 44646 46524 51024 54278 59528 62032 66969 69786 76536 81417 89292 93048 102048 108556 119056 124064 133938 139572 153072 162834 178584 186096 217112 238112 244251 267876 279144 306144 325668 357168 372192 434224 488502 535752 558288 651336 714336 868448 977004 1071504 1116576 1302672 1954008 2143008 2605344 3908016 4121251 7816032 8242502 12363753 16485004 24727506 28848757 32970008 37091259 49455012 57697514 65940016 74182518 86546271 98910024 115395028 131880032 148365036 173092542 197820048 230790056 259638813 296730072 346185084 395640096 461580112 519277626 593460144 692370168 923160224 1038555252 1186920288 1384740336 2077110504 2769480672 4154221008 8308442016