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3666064896 = 293213193221
BaseRepresentation
bin1101101010000011…
…1011011000000000
3100110111100101121100
43122200323120000
530002003034041
61403440254400
7156564015564
oct33240733000
910414311540
103666064896
1116114418aa
12863911400
134656a1790
1426ac696a4
15166cb16b6
hexda83b600

3666064896 has 240 divisors, whose sum is σ = 11997825840. Its totient is φ = 1068318720.

The previous prime is 3666064879. The next prime is 3666064937. The reversal of 3666064896 is 6984606663.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1136566 + ... + 1139786.

It is an arithmetic number, because the mean of its divisors is an integer number (49990941).

Almost surely, 23666064896 is an apocalyptic number.

3666064896 is a gapful number since it is divisible by the number (36) 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 3666064896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998912920).

3666064896 is an abundant number, since it is smaller than the sum of its proper divisors (8331760944).

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

3666064896 is a wasteful number, since it uses less digits than its factorization.

3666064896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The square root of 3666064896 is about 60548.0379203158. The cubic root of 3666064896 is about 1541.9373066206.

The spelling of 3666064896 in words is "three billion, six hundred sixty-six million, sixty-four thousand, eight hundred ninety-six".