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27124113636 = 2232274492
BaseRepresentation
bin11001010000101110…
…010010000011100100
32121000022210201221100
4121100232102003210
5421022233114021
620243255520100
71650106106334
oct312056220344
977008721840
1027124113636
1110559945044
12530b989030
132733617ca9
14145450d0c4
15a8b3ee626
hex650b920e4

27124113636 has 27 divisors (see below), whose sum is σ = 68566229641. Its totient is φ = 9041041824.

The previous prime is 27124113631. The next prime is 27124113641. The reversal of 27124113636 is 63631142172.

The square root of 27124113636 is 164694.

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

27124113636 is a `hidden beast` number, since 2 + 7 + 1 + 2 + 4 + 1 + 13 + 636 = 666.

It is an interprime number because it is at equal distance from previous prime (27124113631) and next prime (27124113641).

It can be written as a sum of positive squares in only one way, i.e., 20307960036 + 6816153600 = 142506^2 + 82560^2 .

It is a super-2 number, since 2×271241136362 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27124113636.

It is not an unprimeable number, because it can be changed into a prime (27124113631) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 974440 + ... + 1001888.

Almost surely, 227124113636 is an apocalyptic number.

27124113636 is the 164694-th square number.

It is an amenable number.

27124113636 is an abundant number, since it is smaller than the sum of its proper divisors (41442116005).

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

27124113636 is an frugal number, since it uses more digits than its factorization.

27124113636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54908 (or 27454 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

Multiplying 27124113636 by its sum of digits (36), we get a square (976468090896 = 9881642).

27124113636 divided by its sum of digits (36) gives a square (753447601 = 274492).

The spelling of 27124113636 in words is "twenty-seven billion, one hundred twenty-four million, one hundred thirteen thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 27449 54898 82347 109796 164694 247041 329388 494082 988164 753447601 1506895202 2260342803 3013790404 4520685606 6781028409 9041371212 13562056818 27124113636