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5669712000 = 27325339373
BaseRepresentation
bin1010100011111000…
…01111000010000000
3112122010120012201100
411101330033002000
543102421241000
62334333334400
7260333520411
oct52174170200
915563505640
105669712000
11244a44a5a7
121122937400
136c4824b94
143badd3808
15232b44a00
hex151f0f080

5669712000 has 192 divisors, whose sum is σ = 20361870360. Its totient is φ = 1511884800.

The previous prime is 5669711987. The next prime is 5669712001. The reversal of 5669712000 is 2179665.

5669712000 is a `hidden beast` number, since 566 + 9 + 71 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3477225024 + 2192486976 = 58968^2 + 46824^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5669712001) 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, 124314 + ... + 163686.

Almost surely, 25669712000 is an apocalyptic number.

5669712000 is a gapful number since it is divisible by the number (50) 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 5669712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10180935180).

5669712000 is an abundant number, since it is smaller than the sum of its proper divisors (14692158360).

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

5669712000 is a wasteful number, since it uses less digits than its factorization.

5669712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39408 (or 39383 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 5669712000 is about 75297.4899980072. The cubic root of 5669712000 is about 1783.1463939681.

The spelling of 5669712000 in words is "five billion, six hundred sixty-nine million, seven hundred twelve thousand".