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66222132606 = 2337329314197
BaseRepresentation
bin111101101011001001…
…011000110101111110
320022221010121220002000
4331223021120311332
52041110331220411
650231054043130
74533021561000
oct755311306576
9208833556060
1066222132606
11260a2738413
1210a017a94a6
13632485c266
1432c2da6370
151ac8b17956
hexf6b258d7e

66222132606 has 512 divisors, whose sum is σ = 189665280000. Its totient is φ = 17069875200.

The previous prime is 66222132601. The next prime is 66222132679. The reversal of 66222132606 is 60623122266.

66222132606 is a `hidden beast` number, since 6 + 6 + 22 + 21 + 3 + 2 + 606 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66222132601) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 682702350 + ... + 682702446.

It is an arithmetic number, because the mean of its divisors is an integer number (370440000).

Almost surely, 266222132606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66222132606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94832640000).

66222132606 is an abundant number, since it is smaller than the sum of its proper divisors (123443147394).

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

66222132606 is a wasteful number, since it uses less digits than its factorization.

66222132606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

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

The spelling of 66222132606 in words is "sixty-six billion, two hundred twenty-two million, one hundred thirty-two thousand, six hundred six".