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27700563969 = 3213298164033
BaseRepresentation
bin11001110011000101…
…010001000000000001
32122111111111110010200
4121303011101000001
5423212321021334
620420411115413
72000305623501
oct316305210001
978444443120
1027700563969
1110825278781
125450a42b69
1327c5b89870
1414aacc5a01
15ac1d19799
hex673151001

27700563969 has 24 divisors (see below), whose sum is σ = 44575625640. Its totient is φ = 16458688512.

The previous prime is 27700563953. The next prime is 27700563973. The reversal of 27700563969 is 96936500772.

27700563969 is a `hidden beast` number, since 2 + 7 + 70 + 0 + 563 + 9 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3283344 + 27697280625 = 1812^2 + 166425^2 .

It is not a de Polignac number, because 27700563969 - 24 = 27700563953 is a prime.

It is a super-2 number, since 2×277005639692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27700563169) 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, 4078624 + ... + 4085409.

It is an arithmetic number, because the mean of its divisors is an integer number (1857317735).

Almost surely, 227700563969 is an apocalyptic number.

27700563969 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

27700563969 is a deficient number, since it is larger than the sum of its proper divisors (16875061671).

27700563969 is a wasteful number, since it uses less digits than its factorization.

27700563969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8164081 (or 8164078 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 27700563969 in words is "twenty-seven billion, seven hundred million, five hundred sixty-three thousand, nine hundred sixty-nine".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 8164033 24492099 73476297 106132429 236756957 318397287 710270871 955191861 2130812613 3077840441 9233521323 27700563969