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66698208 = 25331719239
BaseRepresentation
bin1111111001101…
…1101111100000
311122111121202000
43332123233200
5114033320313
610341324000
71436632263
oct376335740
9148447660
1066698208
1134716395
121a406600
1310a839c5
148c02cda
155cc7673
hex3f9bbe0

66698208 has 192 divisors, whose sum is σ = 217728000. Its totient is φ = 19740672.

The previous prime is 66698201. The next prime is 66698209. The reversal of 66698208 is 80289666.

It is a super-2 number, since 2×666982082 = 8897301900822528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66698201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278953 + ... + 279191.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 266698208 is an apocalyptic number.

66698208 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66698208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

66698208 is an abundant number, since it is smaller than the sum of its proper divisors (151029792).

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

66698208 is a wasteful number, since it uses less digits than its factorization.

66698208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 66698208 is about 8166.8970851848. The cubic root of 66698208 is about 405.5440698762.

The spelling of 66698208 in words is "sixty-six million, six hundred ninety-eight thousand, two hundred eight".