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66987648 = 273471371
BaseRepresentation
bin1111111110001…
…0011010000000
311200001022210000
43333202122000
5114122101043
610351440000
71442246160
oct377423200
9150038700
1066987648
11348a38a2
121a526000
1310b55680
148c7a5a0
155d332d3
hex3fe2680

66987648 has 320 divisors, whose sum is σ = 248814720. Its totient is φ = 17418240.

The previous prime is 66987631. The next prime is 66987653. The reversal of 66987648 is 84678966.

66987648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3483648) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 66987594 and 66987603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943453 + ... + 943523.

It is an arithmetic number, because the mean of its divisors is an integer number (777546).

Almost surely, 266987648 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 66987648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124407360).

66987648 is an abundant number, since it is smaller than the sum of its proper divisors (181827072).

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

66987648 is a wasteful number, since it uses less digits than its factorization.

66987648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 66987648 is about 8184.5982186055. The cubic root of 66987648 is about 406.1298491861.

The spelling of 66987648 in words is "sixty-six million, nine hundred eighty-seven thousand, six hundred forty-eight".