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5649806976 = 273117916931
BaseRepresentation
bin1010100001100000…
…10011011010000000
3112120202002221011020
411100300103122000
543032322310401
62332342545440
7260002365312
oct52060233200
915522087136
105649806976
11243a194670
121118138280
136c0675a68
143b84d17b2
15231011d36
hex150c13680

5649806976 has 128 divisors (see below), whose sum is σ = 16579814400. Its totient is φ = 1690291200.

The previous prime is 5649806969. The next prime is 5649806989. The reversal of 5649806976 is 6796089465.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325231 + ... + 342161.

It is an arithmetic number, because the mean of its divisors is an integer number (129529800).

Almost surely, 25649806976 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 5649806976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8289907200).

5649806976 is an abundant number, since it is smaller than the sum of its proper divisors (10930007424).

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

5649806976 is a wasteful number, since it uses less digits than its factorization.

5649806976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17038 (or 17026 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The square root of 5649806976 is about 75165.1979043493. The cubic root of 5649806976 is about 1781.0572114549.

The spelling of 5649806976 in words is "five billion, six hundred forty-nine million, eight hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 79 88 96 128 132 158 176 192 237 264 316 352 384 474 528 632 704 869 948 1056 1264 1408 1738 1896 2112 2528 2607 3476 3792 4224 5056 5214 6952 7584 10112 10428 13904 15168 16931 20856 27808 30336 33862 41712 50793 55616 67724 83424 101586 111232 135448 166848 186241 203172 270896 333696 372482 406344 541792 558723 744964 812688 1083584 1117446 1337549 1489928 1625376 2167168 2234892 2675098 2979856 3250752 4012647 4469784 5350196 5959712 6501504 8025294 8939568 10700392 11919424 14713039 16050588 17879136 21400784 23838848 29426078 32101176 35758272 42801568 44139117 58852156 64202352 71516544 85603136 88278234 117704312 128404704 171206272 176556468 235408624 256809408 353112936 470817248 513618816 706225872 941634496 1412451744 1883268992 2824903488 5649806976