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66466600200 = 2332527111337997
BaseRepresentation
bin111101111001101101…
…111101010100001000
320100120011122010120100
4331321231331110020
52042110422201300
650311225525400
74542050531340
oct757155752410
9210504563510
1066466600200
1126208732550
1210a6b643860
1363633b5740
143307641d20
151ae0307700
hexf79b7d508

66466600200 has 1152 divisors, whose sum is σ = 308112779520. Its totient is φ = 12391833600.

The previous prime is 66466600183. The next prime is 66466600243. The reversal of 66466600200 is 200666466.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66666102 + ... + 66667098.

It is an arithmetic number, because the mean of its divisors is an integer number (267459010).

Almost surely, 266466600200 is an apocalyptic number.

66466600200 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 66466600200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154056389760).

66466600200 is an abundant number, since it is smaller than the sum of its proper divisors (241646179320).

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

66466600200 is a wasteful number, since it uses less digits than its factorization.

66466600200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

It can be divided in two parts, 66466 and 600200, that added together give a palindrome (666666).

The spelling of 66466600200 in words is "sixty-six billion, four hundred sixty-six million, six hundred thousand, two hundred".