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5665600656 = 2432791014931
BaseRepresentation
bin1010100011011001…
…00011010010010000
3112121211211100000100
411101230203102100
543100343210111
62334105252400
7260253545112
oct52154432220
915554740010
105665600656
1124480a16a1
121121494100
136c3a15731
143ba6433b2
152325d1756
hex151b23490

5665600656 has 120 divisors (see below), whose sum is σ = 16218783360. Its totient is φ = 1845792000.

The previous prime is 5665600651. The next prime is 5665600657. The reversal of 5665600656 is 6560065665.

It is not an unprimeable number, because it can be changed into a prime (5665600651) 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, 1146511 + ... + 1151441.

It is an arithmetic number, because the mean of its divisors is an integer number (135156528).

Almost surely, 25665600656 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 5665600656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8109391680).

5665600656 is an abundant number, since it is smaller than the sum of its proper divisors (10553182704).

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

5665600656 is a wasteful number, since it uses less digits than its factorization.

5665600656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5125 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 5665600656 is about 75270.1843760197. The cubic root of 5665600656 is about 1782.7152785383.

The spelling of 5665600656 in words is "five billion, six hundred sixty-five million, six hundred thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 101 144 158 202 237 303 316 404 474 606 632 711 808 909 948 1212 1264 1422 1616 1818 1896 2424 2844 3636 3792 4848 4931 5688 7272 7979 9862 11376 14544 14793 15958 19724 23937 29586 31916 39448 44379 47874 59172 63832 71811 78896 88758 95748 118344 127664 143622 177516 191496 236688 287244 355032 382992 389549 498031 574488 710064 779098 996062 1148976 1168647 1494093 1558196 1992124 2337294 2988186 3116392 3505941 3984248 4482279 4674588 5976372 6232784 7011882 7968496 8964558 9349176 11952744 14023764 17929116 18698352 23905488 28047528 35858232 39344449 56095056 71716464 78688898 118033347 157377796 236066694 314755592 354100041 472133388 629511184 708200082 944266776 1416400164 1888533552 2832800328 5665600656