Search a number
-
+
565051055045360 = 245133132083546283
BaseRepresentation
bin1000000001111010010011001…
…1011010100111101011110000
32202002200100112120011022120212
42000132210303122213223300
51043030244030042422420
65321432512055323252
7230006406616532312
oct20036446332475360
92662610476138525
10565051055045360
111540518967a46a4
125345a81b080528
131b33a116817040
149d7688d0257b2
15454d41bebd3c5
hex201e9336a7af0

565051055045360 has 160 divisors (see below), whose sum is σ = 1460487844128768. Its totient is φ = 201897436308480.

The previous prime is 565051055045341. The next prime is 565051055045369. The reversal of 565051055045360 is 63540550150565.

It is a junction number, because it is equal to n+sod(n) for n = 565051055045299 and 565051055045308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (565051055045369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1034082779 + ... + 1034629061.

Almost surely, 2565051055045360 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 565051055045360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730243922064384).

565051055045360 is an abundant number, since it is smaller than the sum of its proper divisors (895436789083408).

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

565051055045360 is a wasteful number, since it uses less digits than its factorization.

565051055045360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578423 (or 578417 counting only the distinct ones).

The product of its (nonzero) digits is 6750000, while the sum is 50.

The spelling of 565051055045360 in words is "five hundred sixty-five trillion, fifty-one billion, fifty-five million, forty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 1040 1240 1612 2015 2480 3224 4030 6448 8060 16120 32083 32240 64166 128332 160415 256664 320830 417079 513328 546283 641660 834158 994573 1092566 1283320 1668316 1989146 2085395 2185132 2566640 2731415 3336632 3978292 4170790 4370264 4972865 5462830 6673264 7101679 7956584 8341580 8740528 9945730 10925660 12929449 14203358 15913168 16683160 16934773 19891460 21851320 25858898 28406716 33366320 33869546 35508395 39782920 43702640 51717796 56813432 64647245 67739092 71016790 79565840 84673865 103435592 113626864 129294490 135478184 142033580 169347730 206871184 220152049 258588980 270956368 284067160 338695460 440304098 517177960 568134320 677390920 880608196 1034355920 1100760245 1354781840 1761216392 2201520490 3522432784 4403040980 8806081960 17526397489 17612163920 35052794978 70105589956 87631987445 140211179912 175263974890 227843167357 280422359824 350527949780 455686334714 543318322159 701055899560 911372669428 1086636644318 1139215836785 1402111799120 1822745338856 2173273288636 2278431673570 2716591610795 3645490677712 4346546577272 4556863347140 5433183221590 7063138188067 8693093154544 9113726694280 10866366443180 14126276376134 18227453388560 21732732886360 28252552752268 35315690940335 43465465772720 56505105504536 70631381880670 113010211009072 141262763761340 282525527522680 565051055045360