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12056600224 = 256115739341
BaseRepresentation
bin10110011101010000…
…10001111010100000
31011010020121202021001
423032220101322200
5144142442201344
65312210441344
7604526260654
oct131650217240
934106552231
1012056600224
115127700219
122405893254
1311a1ac1196
14825352a64
154a8700ed4
hex2cea11ea0

12056600224 has 48 divisors (see below), whose sum is σ = 24279836616. Its totient is φ = 5891558400.

The previous prime is 12056600191. The next prime is 12056600293. The reversal of 12056600224 is 42200665021.

It can be written as a sum of positive squares in 4 ways, for example, as 2573735824 + 9482864400 = 50732^2 + 97380^2 .

It is a super-2 number, since 2×120566002242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12056600192 and 12056600201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286794 + ... + 326134.

Almost surely, 212056600224 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 12056600224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12139918308).

12056600224 is an abundant number, since it is smaller than the sum of its proper divisors (12223236392).

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

12056600224 is a wasteful number, since it uses less digits than its factorization.

12056600224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39569 (or 39561 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 12056600224 in words is "twelve billion, fifty-six million, six hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 122 157 244 314 488 628 976 1256 1952 2512 5024 9577 19154 38308 39341 76616 78682 153232 157364 306464 314728 629456 1258912 2399801 4799602 6176537 9599204 12353074 19198408 24706148 38396816 49412296 76793632 98824592 197649184 376768757 753537514 1507075028 3014150056 6028300112 12056600224