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2988224064 = 26327741127
BaseRepresentation
bin1011001000011100…
…1010111001000000
321201020212111210100
42302013022321000
522104441132224
61212304002400
7134023325340
oct26207127100
97636774710
102988224064
1112a3857a71
126b4900400
13388120527
14204c1cd20
15127519ac9
hexb21cae40

2988224064 has 84 divisors (see below), whose sum is σ = 9788818624. Its totient is φ = 853777152.

The previous prime is 2988224023. The next prime is 2988224089. The reversal of 2988224064 is 4604228892.

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366532 + ... + 374595.

Almost surely, 22988224064 is an apocalyptic number.

2988224064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2988224064 is an abundant number, since it is smaller than the sum of its proper divisors (6800594560).

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

2988224064 is a wasteful number, since it uses less digits than its factorization.

2988224064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741152 (or 741139 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2988224064 is about 54664.6509547075. The cubic root of 2988224064 is about 1440.3600025838.

The spelling of 2988224064 in words is "two billion, nine hundred eighty-eight million, two hundred twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 741127 1482254 2223381 2964508 4446762 5187889 5929016 6670143 8893524 10375778 11858032 13340286 15563667 17787048 20751556 23716064 26680572 31127334 35574096 41503112 46691001 47432128 53361144 62254668 71148192 83006224 93382002 106722288 124509336 142296384 166012448 186764004 213444576 249018672 332024896 373528008 426889152 498037344 747056016 996074688 1494112032 2988224064