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27676315044 = 2232721722332
BaseRepresentation
bin11001110001101000…
…110000110110100100
32122102210212110212100
4121301220300312210
5423140114040134
620414143252100
71666562540100
oct316150606644
978383773770
1027676315044
1110812616144
1254448aa030
1327c0b494a1
1414a79b2900
15abeb29999
hex671a30da4

27676315044 has 243 divisors, whose sum is σ = 86822915907. Its totient is φ = 7410428928.

The previous prime is 27676314973. The next prime is 27676315091. The reversal of 27676315044 is 44051367672.

The square root of 27676315044 is 166362.

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

27676315044 is a `hidden beast` number, since 2 + 7 + 6 + 7 + 631 + 5 + 0 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13972644 + 27662342400 = 3738^2 + 166320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 118782352 + ... + 118782584.

Almost surely, 227676315044 is an apocalyptic number.

27676315044 is the 166362-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27676315044

27676315044 is an abundant number, since it is smaller than the sum of its proper divisors (59146600863).

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

27676315044 is a wasteful number, since it uses less digits than its factorization.

27676315044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 27676315044 in words is "twenty-seven billion, six hundred seventy-six million, three hundred fifteen thousand, forty-four".