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5089069440 = 2732572131973
BaseRepresentation
bin1001011110101010…
…10000100110000000
3111010122222111212100
410233111100212000
540410300210230
62200552230400
7240053243100
oct45725204600
914118874770
105089069440
112181713214
12ba039b400
136314460c0
14363c49200
151ebb9c660
hex12f550980

5089069440 has 1152 divisors, whose sum is σ = 23490885600. Its totient is φ = 1003290624.

The previous prime is 5089069411. The next prime is 5089069457. The reversal of 5089069440 is 449609805.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 69713244 + ... + 69713316.

Almost surely, 25089069440 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 5089069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11745442800).

5089069440 is an abundant number, since it is smaller than the sum of its proper divisors (18401816160).

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

5089069440 is a wasteful number, since it uses less digits than its factorization.

5089069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5089069440 is about 71337.7140087906. The cubic root of 5089069440 is about 1720.0700169803.

The spelling of 5089069440 in words is "five billion, eighty-nine million, sixty-nine thousand, four hundred forty".