Search a number
-
+
564854422166016 = 29317147114705633
BaseRepresentation
bin1000000001101110110110101…
…1001011101101101000000000
32202001222112222212201002021220
42000123231223023231220000
51043014033324033303031
65321202312250315040
7226656246102612513
oct20033555313555000
92661875885632256
10564854422166016
11153a86462652044
12534286a3128a80
131b32470ac7b268
149d6b1581d2d7a
15454825e459596
hex201bb6b2eda00

564854422166016 has 160 divisors (see below), whose sum is σ = 1594408837874688. Its totient is φ = 177088749895680.

The previous prime is 564854422166009. The next prime is 564854422166077. The reversal of 564854422166016 is 610661224458465.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31057936 + ... + 45763568.

Almost surely, 2564854422166016 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 564854422166016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797204418937344).

564854422166016 is an abundant number, since it is smaller than the sum of its proper divisors (1029554415708672).

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

564854422166016 is a wasteful number, since it uses less digits than its factorization.

564854422166016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14707142 (or 14707126 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 60.

The spelling of 564854422166016 in words is "five hundred sixty-four trillion, eight hundred fifty-four billion, four hundred twenty-two million, one hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1471 1536 1632 2176 2942 3264 4352 4413 5884 6528 8704 8826 11768 13056 17652 23536 25007 26112 35304 47072 50014 70608 75021 94144 100028 141216 150042 188288 200056 282432 300084 376576 400112 564864 600168 753152 800224 1129728 1200336 1600448 2259456 2400672 3200896 4801344 6401792 9602688 12803584 14705633 19205376 29411266 38410752 44116899 58822532 88233798 117645064 176467596 235290128 249995761 352935192 470580256 499991522 705870384 749987283 941160512 999983044 1411740768 1499974566 1882321024 1999966088 2823481536 2999949132 3764642048 3999932176 5646963072 5999898264 7529284096 7999864352 11293926144 11999796528 15999728704 21631986143 22587852288 23999593056 31999457408 43263972286 47999186112 63998914816 64895958429 86527944572 95998372224 127997829632 129791916858 173055889144 191996744448 259583833716 346111778288 367743764431 383993488896 519167667432 692223556576 735487528862 1038335334864 1103231293293 1384447113152 1470975057724 2076670669728 2206462586586 2768894226304 2941950115448 4153341339456 4412925173172 5537788452608 5883900230896 8306682678912 8825850346344 11075576905216 11767800461792 16613365357824 17651700692688 23535600923584 33226730715648 35303401385376 47071201847168 70606802770752 94142403694336 141213605541504 188284807388672 282427211083008 564854422166016