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563138516322 = 23865512
BaseRepresentation
bin10000011000111011010…
…10111101010101100010
31222211120002110200000000
420030131222331111202
533211301430010242
61110411404440430
755454045260404
oct10143552752542
91884502420000
10563138516322
111a790a0142a8
1291181b49116
1341146b9a3c5
141d382858b74
15e9adb8ba4c
hex831dabd562

563138516322 has 54 divisors (see below), whose sum is σ = 1267190723019. Its totient is φ = 187684184700.

The previous prime is 563138516299. The next prime is 563138516327. The reversal of 563138516322 is 223615831365.

563138516322 is a `hidden beast` number, since 5 + 6 + 3 + 1 + 3 + 8 + 5 + 1 + 632 + 2 = 666.

563138516322 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., 281569258161 + 281569258161 = 530631^2 + 530631^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=530631.

It is not an unprimeable number, because it can be changed into a prime (563138516327) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 85958947 + ... + 85965497.

Almost surely, 2563138516322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563138516322

563138516322 is an abundant number, since it is smaller than the sum of its proper divisors (704052206697).

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

563138516322 is an frugal number, since it uses more digits than its factorization.

563138516322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13128 (or 6556 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 563138516322 in words is "five hundred sixty-three billion, one hundred thirty-eight million, five hundred sixteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 6551 6561 13102 13122 19653 39306 58959 117918 176877 353754 530631 1061262 1591893 3183786 4775679 9551358 14327037 28654074 42915601 42981111 85831202 85962222 128746803 257493606 386240409 772480818 1158721227 2317442454 3476163681 6952327362 10428491043 20856982086 31285473129 62570946258 93856419387 187712838774 281569258161 563138516322