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56005566753856 = 2617234311751907
BaseRepresentation
bin11001011101111110011111…
…11010010110110001000000
321100022002011020112012201211
430232333033322112301000
524320043400042110411
6315040334023135504
714540161103520346
oct1456771772266100
9240262136465654
1056005566753856
1116932911409065
126346306ba4594
1325333c1169865
14db8980869996
15671c776a1221
hex32efcfe96c40

56005566753856 has 112 divisors (see below), whose sum is σ = 122794911916416. Its totient is φ = 25208596537344.

The previous prime is 56005566753853. The next prime is 56005566753869. The reversal of 56005566753856 is 65835766550065.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 56005566753791 and 56005566753800.

It is not an unprimeable number, because it can be changed into a prime (56005566753853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1078933855 + ... + 1078985761.

Almost surely, 256005566753856 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 56005566753856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61397455958208).

56005566753856 is an abundant number, since it is smaller than the sum of its proper divisors (66789345162560).

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

56005566753856 is a wasteful number, since it uses less digits than its factorization.

56005566753856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95076 (or 95066 counting only the distinct ones).

The product of its (nonzero) digits is 680400000, while the sum is 67.

The spelling of 56005566753856 in words is "fifty-six trillion, five billion, five hundred sixty-six million, seven hundred fifty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 136 184 272 368 391 544 736 782 1088 1472 1564 3128 6256 12512 25024 43117 51907 86234 103814 172468 207628 344936 415256 689872 732989 830512 882419 991691 1193861 1379744 1465978 1661024 1764838 1983382 2387722 2759488 2931956 3322048 3529676 3966764 4775444 5863912 7059352 7933528 9550888 11727824 14118704 15867056 16858747 19101776 20295637 23455648 28237408 31734112 33717494 38203552 40591274 46911296 56474816 63468224 67434988 76407104 81182548 134869976 162365096 269739952 324730192 539479904 649460384 1078959808 1298920768 2238074119 4476148238 8952296476 17904592952 35809185904 38047260023 51475704737 71618371808 76094520046 102951409474 143236743616 152189040092 205902818948 304378080184 411805637896 608756160368 823611275792 875086980529 1217512320736 1647222551584 1750173961058 2435024641472 3294445103168 3500347922116 7000695844232 14001391688464 28002783376928 56005566753856