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5664863232 = 21032787811
BaseRepresentation
bin1010100011010011…
…01111010000000000
3112121210102212110100
411101221233100000
543100201110412
62334041402400
7260244354150
oct52151572000
915553385410
105664863232
112447738656
121121199400
136c3817ba2
143ba4d0760
152324d7edc
hex151a6f400

5664863232 has 132 divisors (see below), whose sum is σ = 18694121056. Its totient is φ = 1618513920.

The previous prime is 5664863221. The next prime is 5664863251. The reversal of 5664863232 is 2323684665.

It is a happy number.

5664863232 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 8 + 632 + 3 + 2 = 666.

It is a congruent number.

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, 20607 + ... + 108417.

Almost surely, 25664863232 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 5664863232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9347060528).

5664863232 is an abundant number, since it is smaller than the sum of its proper divisors (13029257824).

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

5664863232 is a wasteful number, since it uses less digits than its factorization.

5664863232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87844 (or 87823 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 5664863232 is about 75265.2857033041. The cubic root of 5664863232 is about 1782.6379302187.

The spelling of 5664863232 in words is "five billion, six hundred sixty-four million, eight hundred sixty-three thousand, two hundred thirty-two".

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 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 21504 32256 64512 87811 175622 263433 351244 526866 614677 702488 790299 1053732 1229354 1404976 1580598 1844031 2107464 2458708 2809952 3161196 3688062 4214928 4917416 5532093 5619904 6322392 7376124 8429856 9834832 11064186 11239808 12644784 14752248 16859712 19669664 22128372 22479616 25289568 29504496 33719424 39339328 44256744 44959232 50579136 59008992 67438848 78678656 88513488 89918464 101158272 118017984 134877696 157357312 177026976 202316544 236035968 269755392 314714624 354053952 404633088 472071936 629429248 708107904 809266176 944143872 1416215808 1888287744 2832431616 5664863232