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66534025743360 = 2103357179384113
BaseRepresentation
bin11110010000011001010001…
…11110000100110000000000
322201120120221122120122012000
433020030220332010300000
532210043141042241420
6353301150502304000
720004632116401240
oct1710145076046000
9281516848518160
1066534025743360
111a221a15aa260a
1275668a6728000
132b181934871b6
14126039a6c9b20
157a5a81905690
hex3c8328f84c00

66534025743360 has 704 divisors, whose sum is σ = 271738837324800. Its totient is φ = 15122778292224.

The previous prime is 66534025743337. The next prime is 66534025743373. The reversal of 66534025743360 is 6334752043566.

66534025743360 is a `hidden beast` number, since 6 + 6 + 5 + 3 + 4 + 0 + 2 + 574 + 3 + 3 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 66534025743297 and 66534025743306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173022664 + ... + 173406776.

Almost surely, 266534025743360 is an apocalyptic number.

66534025743360 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 66534025743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135869418662400).

66534025743360 is an abundant number, since it is smaller than the sum of its proper divisors (205204811581440).

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

66534025743360 is a wasteful number, since it uses less digits than its factorization.

66534025743360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384333 (or 384309 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 54.

The spelling of 66534025743360 in words is "sixty-six trillion, five hundred thirty-four billion, twenty-five million, seven hundred forty-three thousand, three hundred sixty".