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66667016 = 23131095881
BaseRepresentation
bin1111111001010…
…0001000001000
311122110000221202
43332110020020
5114031321031
610340523332
71436442323
oct376241010
9148400852
1066667016
11346a4a09
121a3b0548
1310a72750
148bd57ba
155cbd2cb
hex3f94208

66667016 has 32 divisors (see below), whose sum is σ = 135874200. Its totient is φ = 30481920.

The previous prime is 66666983. The next prime is 66667037. The reversal of 66667016 is 61076666.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60684100 + 5982916 = 7790^2 + 2446^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8396 + ... + 14276.

Almost surely, 266667016 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 66667016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67937100).

66667016 is an abundant number, since it is smaller than the sum of its proper divisors (69207184).

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

66667016 is a wasteful number, since it uses less digits than its factorization.

66667016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009 (or 6005 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 66667016 is about 8164.9872014597. The cubic root of 66667016 is about 405.4808412756.

The spelling of 66667016 in words is "sixty-six million, six hundred sixty-seven thousand, sixteen".

Divisors: 1 2 4 8 13 26 52 104 109 218 436 872 1417 2834 5668 5881 11336 11762 23524 47048 76453 152906 305812 611624 641029 1282058 2564116 5128232 8333377 16666754 33333508 66667016