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3666112845824 = 2111113233197181
BaseRepresentation
bin110101010110010101010…
…110101001100000000000
3110222110212201002212201202
4311112111112221200000
5440031144342031244
611444104453320332
7525603460011542
oct65262526514000
913873781085652
103666112845824
111193876142930
124b26259360a8
132079364a3b10
14c9625815692
156556d7dd04e
hex355955a9800

3666112845824 has 768 divisors, whose sum is σ = 9423709102080. Its totient is φ = 1401421824000.

The previous prime is 3666112845817. The next prime is 3666112845827. The reversal of 3666112845824 is 4285482116663.

It is a self number, because there is not a number n which added to its sum of digits gives 3666112845824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3666112845827) by changing a digit.

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, 20254767014 + ... + 20254767194.

It is an arithmetic number, because the mean of its divisors is an integer number (12270454560).

Almost surely, 23666112845824 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 3666112845824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711854551040).

3666112845824 is an abundant number, since it is smaller than the sum of its proper divisors (5757596256256).

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

3666112845824 is a wasteful number, since it uses less digits than its factorization.

3666112845824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 358 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 56.

The spelling of 3666112845824 in words is "three trillion, six hundred sixty-six billion, one hundred twelve million, eight hundred forty-five thousand, eight hundred twenty-four".