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12823200481 = 7213101199313
BaseRepresentation
bin10111111000101001…
…01000001011100001
31020002200010002010011
423330110220023201
5202230214403411
65520233404521
7632525256100
oct137424501341
936080102104
1012823200481
1154903a9353
12259a569741
13129487b7c0
148990a6037
15500b7bc21
hex2fc5282e1

12823200481 has 24 divisors (see below), whose sum is σ = 16223362344. Its totient is φ = 10045324800.

The previous prime is 12823200451. The next prime is 12823200517. The reversal of 12823200481 is 18400232821.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4024760481 + 8798440000 = 63441^2 + 93800^2 .

It is not a de Polignac number, because 12823200481 - 25 = 12823200449 is a prime.

It is a super-2 number, since 2×128232004812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12823200431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35320 + ... + 163993.

It is an arithmetic number, because the mean of its divisors is an integer number (675973431).

Almost surely, 212823200481 is an apocalyptic number.

It is an amenable number.

12823200481 is a deficient number, since it is larger than the sum of its proper divisors (3400161863).

12823200481 is a wasteful number, since it uses less digits than its factorization.

12823200481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199441 (or 199434 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 12823200481 in words is "twelve billion, eight hundred twenty-three million, two hundred thousand, four hundred eighty-one".

Divisors: 1 7 13 49 91 101 637 707 1313 4949 9191 64337 199313 1395191 2591069 9766337 18137483 20130613 126962381 140914291 261697969 986400037 1831885783 12823200481