Search a number
-
+
563811557408 = 2511410972
BaseRepresentation
bin10000011010001011100…
…10011010000000100000
31222220021222220200210122
420031011302122000200
533214141224314113
61111002250215412
755506530110331
oct10150562320040
91886258820718
10563811557408
111a8124a20000
129132b424568
134122345aa78
141d407db6288
15e9eccd6408
hex8345c9a020

563811557408 has 90 divisors (see below), whose sum is σ = 1222110869805. Its totient is φ = 256044363520.

The previous prime is 563811557377. The next prime is 563811557453. The reversal of 563811557408 is 804755118365.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 536251573264 + 27559984144 = 732292^2 + 166012^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=530948.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 563811557408.

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 14 ways as a sum of consecutive naturals, for example, 513957116 + ... + 513958212.

Almost surely, 2563811557408 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 563811557408

563811557408 is an abundant number, since it is smaller than the sum of its proper divisors (658299312397).

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

563811557408 is an frugal number, since it uses more digits than its factorization.

563811557408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 53.

The spelling of 563811557408 in words is "five hundred sixty-three billion, eight hundred eleven million, five hundred fifty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1097 1331 1936 2194 2662 3872 4388 5324 8776 10648 12067 14641 17552 21296 24134 29282 35104 42592 48268 58564 96536 117128 132737 193072 234256 265474 386144 468512 530948 1061896 1203409 1460107 2123792 2406818 2920214 4247584 4813636 5840428 9627272 11680856 13237499 16061177 19254544 23361712 26474998 32122354 38509088 46723424 52949996 64244708 105899992 128489416 145612489 211799984 256978832 291224978 423599968 513957664 582449956 1164899912 1601737379 2329799824 3203474758 4659599648 6406949516 12813899032 17619111169 25627798064 35238222338 51255596128 70476444676 140952889352 281905778704 563811557408