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66470544 = 2434717431
BaseRepresentation
bin1111110110010…
…0001010010000
311122002001110000
43331210022100
5114004024134
610332410000
71434663450
oct375441220
9148061400
1066470544
1134580338
121a316900
1310a041aa
148b83d60
155c7ee99
hex3f64290

66470544 has 200 divisors, whose sum is σ = 233342208. Its totient is φ = 17832960.

The previous prime is 66470543. The next prime is 66470557. The reversal of 66470544 is 44507466.

66470544 is a `hidden beast` number, since 6 + 647 + 0 + 5 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 66470499 and 66470508.

It is not an unprimeable number, because it can be changed into a prime (66470543) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 154009 + ... + 154439.

Almost surely, 266470544 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 66470544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116671104).

66470544 is an abundant number, since it is smaller than the sum of its proper divisors (166871664).

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

66470544 is a wasteful number, since it uses less digits than its factorization.

66470544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 66470544 is about 8152.9469518696. The cubic root of 66470544 is about 405.0821232641.

Subtracting from 66470544 its product of nonzero digits (80640), we obtain a square (66389904 = 81482).

The spelling of 66470544 in words is "sixty-six million, four hundred seventy thousand, five hundred forty-four".