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5566560734736 = 24321966132
BaseRepresentation
bin101000100000001000011…
…1000000000111000010000
3201201011021012002111112100
41101000100320000320100
51212200304022002421
615501124231200400
71113112364355651
oct121002070007020
921634235074470
105566560734736
111856846462141
1275aa05b16100
13314c02c66581
141535cc913528
1599beba53c26
hex51010e00e10

5566560734736 has 45 divisors (see below), whose sum is σ = 15578717958349. Its totient is φ = 1855510807488.

The previous prime is 5566560734731. The next prime is 5566560734759. The reversal of 5566560734736 is 6374370656655.

The square root of 5566560734736 is 2359356.

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

5566560734736 is a `hidden beast` number, since 5 + 5 + 6 + 6 + 560 + 7 + 34 + 7 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146306250000 + 5420254484736 = 382500^2 + 2328144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5566560734731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28213966 + ... + 28410578.

Almost surely, 25566560734736 is an apocalyptic number.

5566560734736 is the 2359356-th square number.

It is an amenable number.

5566560734736 is an abundant number, since it is smaller than the sum of its proper divisors (10012157223613).

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

5566560734736 is an frugal number, since it uses more digits than its factorization.

5566560734736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393240 (or 196618 counting only the distinct ones).

The product of its (nonzero) digits is 285768000, while the sum is 63.

The spelling of 5566560734736 in words is "five trillion, five hundred sixty-six billion, five hundred sixty million, seven hundred thirty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 196613 393226 589839 786452 1179678 1572904 1769517 2359356 3145808 3539034 4718712 7078068 9437424 14156136 28312272 38656671769 77313343538 115970015307 154626687076 231940030614 309253374152 347910045921 463880061228 618506748304 695820091842 927760122456 1391640183684 1855520244912 2783280367368 5566560734736