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66366450146053 = 557275343279993
BaseRepresentation
bin11110001011100001001001…
…01011111001101100000101
322200222120102000112021100001
433011300210223321230011
532144321442214133203
6353052154251521301
716656550334333431
oct1705604453715405
9280876360467301
1066366450146053
111a167942a35032
12753a319a59231
132b054388b1125
141256220a259c1
157a1524d5191d
hex3c5c24af9b05

66366450146053 has 8 divisors (see below), whose sum is σ = 66509751739608. Its totient is φ = 66223235119104.

The previous prime is 66366450146047. The next prime is 66366450146063. The reversal of 66366450146053 is 35064105466366.

66366450146053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 599816172484 + 65766633973569 = 774478^2 + 8109663^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-66366450146053 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66366450145985 and 66366450146003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66366450146033) 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 7 ways as a sum of consecutive naturals, for example, 20106576 + ... + 23173417.

It is an arithmetic number, because the mean of its divisors is an integer number (8313718967451).

Almost surely, 266366450146053 is an apocalyptic number.

It is an amenable number.

66366450146053 is a deficient number, since it is larger than the sum of its proper divisors (143301593555).

66366450146053 is a wasteful number, since it uses less digits than its factorization.

66366450146053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43283303.

The product of its (nonzero) digits is 27993600, while the sum is 55.

The spelling of 66366450146053 in words is "sixty-six trillion, three hundred sixty-six billion, four hundred fifty million, one hundred forty-six thousand, fifty-three".

Divisors: 1 557 2753 1533421 43279993 24106956101 119149820729 66366450146053