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66482374855680 = 210335733121459
BaseRepresentation
bin11110001110111001000100…
…10101100100110000000000
322201101122122000022200102000
433013130202111210300000
532203221400430340210
6353221325324424000
720001123140163000
oct1707344225446000
9281348560280360
1066482374855680
111a202020461183
1275588909a8000
132b133516a5274
14125ba9aa1a000
157a455c15dac0
hex3c7722564c00

66482374855680 has 2112 divisors, whose sum is σ = 284899167360000. Its totient is φ = 14695699415040.

The previous prime is 66482374855661. The next prime is 66482374855759. The reversal of 66482374855680 is 8655847328466.

66482374855680 is a `hidden beast` number, since 6 + 6 + 4 + 8 + 23 + 7 + 48 + 556 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 66482374855599 and 66482374855608.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 45567082791 + ... + 45567084249.

Almost surely, 266482374855680 is an apocalyptic number.

66482374855680 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 66482374855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142449583680000).

66482374855680 is an abundant number, since it is smaller than the sum of its proper divisors (218416792504320).

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

66482374855680 is a wasteful number, since it uses less digits than its factorization.

66482374855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 1857945600, while the sum is 72.

The spelling of 66482374855680 in words is "sixty-six trillion, four hundred eighty-two billion, three hundred seventy-four million, eight hundred fifty-five thousand, six hundred eighty".