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66823401400 = 23527675571279
BaseRepresentation
bin111110001110111111…
…000010111110111000
320101111001000111210121
4332032333002332320
52043323242321100
650410453223024
74553642353150
oct761677027670
9211431014717
1066823401400
1126381082578
1210b4b031a74
1363bc2b0502
14333cb9d760
151b117d651a
hexf8efc2fb8

66823401400 has 192 divisors, whose sum is σ = 180674150400. Its totient is φ = 22510794240.

The previous prime is 66823401397. The next prime is 66823401401. The reversal of 66823401400 is 410432866.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66823401401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52245961 + ... + 52247239.

It is an arithmetic number, because the mean of its divisors is an integer number (941011200).

Almost surely, 266823401400 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 66823401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90337075200).

66823401400 is an abundant number, since it is smaller than the sum of its proper divisors (113850749000).

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

66823401400 is a wasteful number, since it uses less digits than its factorization.

66823401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 66823401400 in words is "sixty-six billion, eight hundred twenty-three million, four hundred one thousand, four hundred".