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5666553024 = 2631110192633
BaseRepresentation
bin1010100011100000…
…01011110011000000
3112121220121201102020
411101300023303000
543101114144044
62334141521440
7260264622516
oct52160136300
915556551366
105666553024
112448692180
121121873280
136c3c8a072
143ba8104b6
1523271da19
hex151c0bcc0

5666553024 has 112 divisors (see below), whose sum is σ = 16378001280. Its totient is φ = 1714800640.

The previous prime is 5666553019. The next prime is 5666553121. The reversal of 5666553024 is 4203556665.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 2150812 + ... + 2153444.

Almost surely, 25666553024 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 5666553024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189000640).

5666553024 is an abundant number, since it is smaller than the sum of its proper divisors (10711448256).

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

5666553024 is a wasteful number, since it uses less digits than its factorization.

5666553024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The square root of 5666553024 is about 75276.5104398444. The cubic root of 5666553024 is about 1782.8151623791.

The spelling of 5666553024 in words is "five billion, six hundred sixty-six million, five hundred fifty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1019 1056 2038 2112 2633 3057 4076 5266 6114 7899 8152 10532 11209 12228 15798 16304 21064 22418 24456 28963 31596 32608 33627 42128 44836 48912 57926 63192 65216 67254 84256 86889 89672 97824 115852 126384 134508 168512 173778 179344 195648 231704 252768 269016 347556 358688 463408 505536 538032 695112 717376 926816 1076064 1390224 1853632 2152128 2683027 2780448 5366054 5560896 8049081 10732108 16098162 21464216 29513297 32196324 42928432 59026594 64392648 85856864 88539891 118053188 128785296 171713728 177079782 236106376 257570592 354159564 472212752 515141184 708319128 944425504 1416638256 1888851008 2833276512 5666553024