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5668832832 = 263132698443
BaseRepresentation
bin1010100011110001…
…11000011001000000
3112122001220112201120
411101320320121000
543102210122312
62334302432240
7260323166265
oct52170703100
915561815646
105668832832
1124499aa013
121122592680
136c45a7970
143bac4526c
15232a1e28c
hex151e38640

5668832832 has 112 divisors (see below), whose sum is σ = 16214506560. Its totient is φ = 1737566208.

The previous prime is 5668832809. The next prime is 5668832849. The reversal of 5668832832 is 2382388665.

It is a super-2 number, since 2×56688328322 = 64271331354322280448, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 667203 + ... + 675645.

It is an arithmetic number, because the mean of its divisors is an integer number (144772380).

Almost surely, 25668832832 is an apocalyptic number.

5668832832 is a gapful number since it is divisible by the number (52) 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 5668832832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8107253280).

5668832832 is an abundant number, since it is smaller than the sum of its proper divisors (10545673728).

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

5668832832 is a wasteful number, since it uses less digits than its factorization.

5668832832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8740 (or 8730 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The square root of 5668832832 is about 75291.6518081520. The cubic root of 5668832832 is about 1783.0542219562.

The spelling of 5668832832 in words is "five billion, six hundred sixty-eight million, eight hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 269 312 416 538 624 807 832 1076 1248 1614 2152 2496 3228 3497 4304 6456 6994 8443 8608 10491 12912 13988 16886 17216 20982 25329 25824 27976 33772 41964 50658 51648 55952 67544 83928 101316 109759 111904 135088 167856 202632 219518 223808 270176 329277 335712 405264 439036 540352 658554 671424 810528 878072 1317108 1621056 1756144 2271167 2634216 3512288 4542334 5268432 6813501 7024576 9084668 10536864 13627002 18169336 21073728 27254004 29525171 36338672 54508008 59050342 72677344 88575513 109016016 118100684 145354688 177151026 218032032 236201368 354302052 436064064 472402736 708604104 944805472 1417208208 1889610944 2834416416 5668832832