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66841092864 = 28337213171947
BaseRepresentation
bin111110010000000010…
…100010001100000000
320101112021022022221000
4332100002202030000
52043342304432424
650412324332000
74554245625600
oct762002421400
9211467268830
1066841092864
1126390066417
1210b54b44000
1363c2b65c30
143341286c00
151b1312d3c9
hexf900a2300

66841092864 has 1728 divisors, whose sum is σ = 281856153600. Its totient is φ = 15383789568.

The previous prime is 66841092863. The next prime is 66841092869. The reversal of 66841092864 is 46829014866.

66841092864 is a `hidden beast` number, since 6 + 68 + 410 + 92 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 66841092864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66841092863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1422150889 + ... + 1422150935.

It is an arithmetic number, because the mean of its divisors is an integer number (163111200).

Almost surely, 266841092864 is an apocalyptic number.

66841092864 is a gapful number since it is divisible by the number (64) 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 66841092864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140928076800).

66841092864 is an abundant number, since it is smaller than the sum of its proper divisors (215015060736).

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

66841092864 is a wasteful number, since it uses less digits than its factorization.

66841092864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 66841092864 in words is "sixty-six billion, eight hundred forty-one million, ninety-two thousand, eight hundred sixty-four".