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5665590000 = 243254717232
BaseRepresentation
bin1010100011011001…
…00000101011110000
3112121211210210101200
411101230200223300
543100342340000
62334105131200
7260253502050
oct52154405360
915554723350
105665590000
112448094694
121121489b00
136c3a10925
143ba63d560
152325cd500
hex151b20af0

5665590000 has 900 divisors, whose sum is σ = 25063614576. Its totient is φ = 1165824000.

The previous prime is 5665589999. The next prime is 5665590019. The reversal of 5665590000 is 955665.

5665590000 is a `hidden beast` number, since 5 + 6 + 65 + 590 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 246329989 + ... + 246330011.

Almost surely, 25665590000 is an apocalyptic number.

5665590000 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 5665590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12531807288).

5665590000 is an abundant number, since it is smaller than the sum of its proper divisors (19398024576).

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

5665590000 is a wasteful number, since it uses less digits than its factorization.

5665590000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 5665590000 is about 75270.1135909864. The cubic root of 5665590000 is about 1782.7141608795.

The spelling of 5665590000 in words is "five billion, six hundred sixty-five million, five hundred ninety thousand".