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66989122200 = 2339527111317
BaseRepresentation
bin111110011000110111…
…001110001010011000
320101220120212000000000
4332120313032022120
52044143203402300
650435133213000
74561024100160
oct763067161230
9211816760000
1066989122200
1126456682010
1210b96631160
136417724b60
143356bbb5a0
151b2111dc00
hexf98dce298

66989122200 has 1920 divisors, whose sum is σ = 332123742720. Its totient is φ = 12093235200.

The previous prime is 66989122129. The next prime is 66989122201. The reversal of 66989122200 is 222198966.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66989122201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3940536592 + ... + 3940536608.

It is an arithmetic number, because the mean of its divisors is an integer number (172981116).

Almost surely, 266989122200 is an apocalyptic number.

66989122200 is a gapful number since it is divisible by the number (60) 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 66989122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166061871360).

66989122200 is an abundant number, since it is smaller than the sum of its proper divisors (265134620520).

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

66989122200 is a wasteful number, since it uses less digits than its factorization.

66989122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 66989122200 in words is "sixty-six billion, nine hundred eighty-nine million, one hundred twenty-two thousand, two hundred".