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56656225783089 = 36149218712
BaseRepresentation
bin11001110000111010011100…
…01101100100110100110001
321102121021121210021121000000
430320131032031210310301
524411223422300024324
6320255302200220213
714635164043152222
oct1470351615446461
9242537553247000
1056656225783089
1117063852480069
12643043346a669
13257c87525c7ba
14ddc266b91249
15683b59b919c9
hex33874e364d31

56656225783089 has 63 divisors (see below), whose sum is σ = 85565142192859. Its totient is φ = 37497269755440.

The previous prime is 56656225782929. The next prime is 56656225783127. The reversal of 56656225783089 is 98038752265665.

The square root of 56656225783089 is 7527033.

It is a perfect power (a square), and thus also a powerful number.

56656225783089 is a `hidden beast` number, since 5 + 6 + 6 + 5 + 62 + 257 + 8 + 308 + 9 = 666.

56656225783089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6637666918689 + 50018558864400 = 2576367^2 + 7072380^2 .

It is not a de Polignac number, because 56656225783089 - 215 = 56656225750321 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56656225783489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 30281252824 + ... + 30281254694.

Almost surely, 256656225783089 is an apocalyptic number.

56656225783089 is the 7527033-rd square number.

56656225783089 is the 3763517-th centered octagonal number.

It is an amenable number.

56656225783089 is a deficient number, since it is larger than the sum of its proper divisors (28908916409770).

56656225783089 is an frugal number, since it uses more digits than its factorization.

56656225783089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 72.

The spelling of 56656225783089 in words is "fifty-six trillion, six hundred fifty-six billion, two hundred twenty-five million, seven hundred eighty-three thousand, eighty-nine".

Divisors: 1 3 9 27 81 149 243 447 729 1341 1871 4023 5613 12069 16839 22201 36207 50517 66603 108621 151551 199809 278779 454653 599427 836337 1363959 1798281 2509011 3500641 5394843 7527033 10501923 16184529 22581099 31505769 41538071 67743297 94517307 124614213 203229891 283551921 373842639 521595509 850655763 1121527917 1564786527 2551967289 3364583751 4694359581 10093751253 14083078743 30281253759 42249236229 77717730841 126747708687 233153192523 380243126061 699459577569 2098378732707 6295136198121 18885408594363 56656225783089