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56553266235565 = 51141101519747779
BaseRepresentation
bin11001101101111010101010…
…10110000100100010101101
321102020102212100201122210001
430312331111112010202231
524403032042124014230
6320140113431544301
714624560441352251
oct1466752526044255
9242212770648701
1056553266235565
11170241184a4120
12641449a52b091
132572c47560308
14dd729aa58261
15681130c040ca
hex336f555848ad

56553266235565 has 64 divisors (see below), whose sum is σ = 76606280997120. Its totient is φ = 39720718080000.

The previous prime is 56553266235551. The next prime is 56553266235611.

It is a happy number.

56553266235565 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56553266235565 - 211 = 56553266233517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56553266235497 and 56553266235506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1183618846 + ... + 1183666624.

It is an arithmetic number, because the mean of its divisors is an integer number (1196973140580).

Almost surely, 256553266235565 is an apocalyptic number.

56553266235565 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56553266235565 is a deficient number, since it is larger than the sum of its proper divisors (20053014761555).

56553266235565 is a wasteful number, since it uses less digits than its factorization.

56553266235565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53134.

The product of its digits is 729000000, while the sum is 64.

The spelling of 56553266235565 in words is "fifty-six trillion, five hundred fifty-three billion, two hundred sixty-six million, two hundred thirty-five thousand, five hundred sixty-five".

Divisors: 1 5 11 41 55 101 205 451 505 1111 2255 4141 5197 5555 20705 25985 45551 47779 57167 213077 227755 238895 285835 524897 525569 1065385 1958939 2343847 2624485 2627845 4825679 5773867 9794695 11719235 21520777 21548329 24128395 28869335 53082469 107603885 107741645 197852839 236728547 248307463 265412345 989264195 1183642735 1241537315 2176381229 2731382093 10180605983 10881906145 13656910465 25079053763 50903029915 111986665813 125395268815 275869591393 559933329065 1028241204283 1379347956965 5141206021415 11310653247113 56553266235565