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5666743104 = 2631197139199
BaseRepresentation
bin1010100011100001…
…11010001101000000
3112121220222101011020
411101300322031000
543101141234404
62334145545440
7260266343631
oct52160721500
915556871136
105666743104
112448801a70
121121945280
136c4025739
143ba85d888
15232759ed9
hex151c3a340

5666743104 has 224 divisors, whose sum is σ = 16727424000. Its totient is φ = 1678786560.

The previous prime is 5666743063. The next prime is 5666743153. The reversal of 5666743104 is 4013476665.

It is a super-2 number, since 2×56667431042 = 64223954813463109632, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 28475997 + ... + 28476195.

It is an arithmetic number, because the mean of its divisors is an integer number (74676000).

Almost surely, 25666743104 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 5666743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8363712000).

5666743104 is an abundant number, since it is smaller than the sum of its proper divisors (11060680896).

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

5666743104 is a wasteful number, since it uses less digits than its factorization.

5666743104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 5666743104 is about 75277.7729744976. The cubic root of 5666743104 is about 1782.8350965270.

It can be divided in two parts, 566674 and 3104, that added together give a triangular number (569778 = T1067).

The spelling of 5666743104 in words is "five billion, six hundred sixty-six million, seven hundred forty-three thousand, one hundred four".