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5669295840 = 253351329592
BaseRepresentation
bin1010100011110101…
…01001011011100000
3112122002210001212000
411101322221123200
543102314431330
62334320404000
7260330135205
oct52172513340
915562701760
105669295840
11244a19596a
121122776600
136c470a630
143bad25cac
15232ab1560
hex151ea96e0

5669295840 has 576 divisors, whose sum is σ = 22486766400. Its totient is φ = 1324560384.

The previous prime is 5669295823. The next prime is 5669295859. The reversal of 5669295840 is 485929665.

It is a happy number.

5669295840 is a `hidden beast` number, since 56 + 6 + 9 + 2 + 9 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96089731 + ... + 96089789.

It is an arithmetic number, because the mean of its divisors is an integer number (39039525).

Almost surely, 25669295840 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 5669295840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11243383200).

5669295840 is an abundant number, since it is smaller than the sum of its proper divisors (16817470560).

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

5669295840 is a wasteful number, since it uses less digits than its factorization.

5669295840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 5669295840 is about 75294.7265085677. The cubic root of 5669295840 is about 1783.1027649231.

The spelling of 5669295840 in words is "five billion, six hundred sixty-nine million, two hundred ninety-five thousand, eight hundred forty".