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5648289696 = 253277139461
BaseRepresentation
bin1010100001010101…
…00000111110100000
3112120122020211211200
411100222200332200
543031430232241
62332250241200
7256653445620
oct52052407640
915518224750
105648289696
112439348715
121117726200
136c026426a
143b8218880
15230d124b6
hex150aa0fa0

5648289696 has 144 divisors (see below), whose sum is σ = 18615961728. Its totient is φ = 1591027200.

The previous prime is 5648289671. The next prime is 5648289697. The reversal of 5648289696 is 6969828465.

5648289696 is a `hidden beast` number, since 564 + 8 + 2 + 8 + 9 + 69 + 6 = 666.

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 (63).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (5648289697) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 123406 + ... + 162866.

It is an arithmetic number, because the mean of its divisors is an integer number (129277512).

Almost surely, 25648289696 is an apocalyptic number.

5648289696 is a gapful number since it is divisible by the number (56) 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 5648289696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9307980864).

5648289696 is an abundant number, since it is smaller than the sum of its proper divisors (12967672032).

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

5648289696 is a wasteful number, since it uses less digits than its factorization.

5648289696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39555 (or 39544 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The square root of 5648289696 is about 75155.1042577948. The cubic root of 5648289696 is about 1780.8977603183.

The spelling of 5648289696 in words is "five billion, six hundred forty-eight million, two hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 71 72 84 96 112 126 142 144 168 213 224 252 284 288 336 426 497 504 568 639 672 852 994 1008 1136 1278 1491 1704 1988 2016 2272 2556 2982 3408 3976 4473 5112 5964 6816 7952 8946 10224 11928 15904 17892 20448 23856 35784 39461 47712 71568 78922 118383 143136 157844 236766 276227 315688 355149 473532 552454 631376 710298 828681 947064 1104908 1262752 1420596 1657362 1894128 2209816 2486043 2801731 2841192 3314724 3788256 4419632 4972086 5603462 5682384 6629448 8405193 8839264 9944172 11206924 11364768 13258896 16810386 19612117 19888344 22413848 25215579 26517792 33620772 39224234 39776688 44827696 50431158 58836351 67241544 78448468 79553376 89655392 100862316 117672702 134483088 156896936 176509053 201724632 235345404 268966176 313793872 353018106 403449264 470690808 627587744 706036212 806898528 941381616 1412072424 1882763232 2824144848 5648289696