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5664199296 = 27372674493
BaseRepresentation
bin1010100011001110…
…01101001010000000
3112121202012010201010
411101213031022000
543100013334141
62334015240520
7260235620400
oct52147151200
915552163633
105664199296
112447324848
121120b19140
136c3644922
143ba39a800
15232406416
hex1519cd280

5664199296 has 192 divisors, whose sum is σ = 17767118880. Its totient is φ = 1593833472.

The previous prime is 5664199291. The next prime is 5664199297. The reversal of 5664199296 is 6929914665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (5664199291) by changing a digit.

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, 1258426 + ... + 1262918.

Almost surely, 25664199296 is an apocalyptic number.

5664199296 is a gapful number since it is divisible by the number (56) 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 5664199296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8883559440).

5664199296 is an abundant number, since it is smaller than the sum of its proper divisors (12102919584).

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

5664199296 is a wasteful number, since it uses less digits than its factorization.

5664199296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4591 (or 4572 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 57.

The square root of 5664199296 is about 75260.8749351215. The cubic root of 5664199296 is about 1782.5682843043.

The spelling of 5664199296 in words is "five billion, six hundred sixty-four million, one hundred ninety-nine thousand, two hundred ninety-six".