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66693184982424 = 23367111323895581
BaseRepresentation
bin11110010101000001101111…
…00110011000110110011000
322202010210202201202201000000
433022200313212120312120
532220200120323414144
6353502232021213000
720022265203533340
oct1712406746306630
9282123681681000
1066693184982424
111a28346a264620
127591704861160
132b2a1a949bc30
141267d786a3d20
157a9c99668769
hex3ca837998d98

66693184982424 has 1792 divisors, whose sum is σ = 265677192345600. Its totient is φ = 15120575078400.

The previous prime is 66693184982381. The next prime is 66693184982429. The reversal of 66693184982424 is 42428948139666.

It is a happy number.

66693184982424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×666931849824242 (a number of 28 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66693184982429) 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 447 ways as a sum of consecutive naturals, for example, 11950039314 + ... + 11950044894.

It is an arithmetic number, because the mean of its divisors is an integer number (148257361800).

Almost surely, 266693184982424 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 66693184982424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132838596172800).

66693184982424 is an abundant number, since it is smaller than the sum of its proper divisors (198984007363176).

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

66693184982424 is a wasteful number, since it uses less digits than its factorization.

66693184982424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748 (or 5729 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 72.

The spelling of 66693184982424 in words is "sixty-six trillion, six hundred ninety-three billion, one hundred eighty-four million, nine hundred eighty-two thousand, four hundred twenty-four".