Search a number
-
+
56540044004565 = 351117533701102761
BaseRepresentation
bin11001101101100010000010…
…01111010000110011010101
321102012011201212202201200210
430312301001033100303111
524402323002231121230
6320130045421400033
714623611666266652
oct1466610117206325
9242164655681623
1056540044004565
1117019552932290
126411a0a409019
13257191b11c5a4
14dd67a49a0c29
15680b0a005eb0
hex336c413d0cd5

56540044004565 has 128 divisors (see below), whose sum is σ = 106494631524864. Its totient is φ = 25306910720000.

The previous prime is 56540044004491. The next prime is 56540044004573.

It is a happy number.

56540044004565 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56540044004565 - 28 = 56540044004309 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 550157785 + ... + 550260545.

It is an arithmetic number, because the mean of its divisors is an integer number (831989308788).

Almost surely, 256540044004565 is an apocalyptic number.

56540044004565 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56540044004565 is a deficient number, since it is larger than the sum of its proper divisors (49954587520299).

56540044004565 is a wasteful number, since it uses less digits than its factorization.

56540044004565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106551.

The product of its (nonzero) digits is 5760000, while the sum is 48.

It can be divided in two parts, 5654004 and 4004565, that added together give a palindrome (9658569).

The spelling of 56540044004565 in words is "fifty-six trillion, five hundred forty billion, forty-four million, four thousand, five hundred sixty-five".

Divisors: 1 3 5 11 15 17 33 51 53 55 85 159 165 187 255 265 561 583 795 901 935 1749 2703 2805 2915 3701 4505 8745 9911 11103 13515 18505 29733 40711 49555 55515 62917 102761 122133 148665 188751 196153 203555 308283 314585 513805 588459 610665 692087 943755 980765 1130371 1541415 1746937 2076261 2157683 2942295 3334601 3391113 3460435 5240811 5446333 5651855 6473049 8734685 10003803 10381305 10788415 16338999 16673005 16955565 19216307 26204055 27231665 32365245 36680611 50019015 57648921 59909663 81694995 92587661 96081535 110041833 179728989 183403055 277762983 288244605 299548315 380318461 462938305 550209165 898644945 1018464271 1140955383 1388814915 1901592305 3055392813 4183503071 5092321355 5704776915 6465413837 12550509213 15276964065 19396241511 20156878433 20917515355 32327069185 60470635299 62752546065 71119552207 96981207555 100784392165 213358656621 221725662763 302353176495 342666933361 355597761035 665176988289 1028000800083 1066793283105 1108628313815 1713334666805 3325884941445 3769336266971 5140004000415 11308008800913 18846681334855 56540044004565