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5593040640 = 28325111923101
BaseRepresentation
bin1010011010101111…
…10000011100000000
3112102210021220101100
411031113300130000
542423304300030
62322554134400
7255413026635
oct51527603400
915383256340
105593040640
112410142240
121101121400
136b198b905
143b0b5618c
1522b04c360
hex14d5f0700

5593040640 has 864 divisors, whose sum is σ = 23417372160. Its totient is φ = 1216512000.

The previous prime is 5593040633. The next prime is 5593040671. The reversal of 5593040640 is 460403955.

It is a happy number.

5593040640 is a `hidden beast` number, since 5 + 5 + 9 + 3 + 0 + 4 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5593040595 and 5593040604.

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, 55376590 + ... + 55376690.

It is an arithmetic number, because the mean of its divisors is an integer number (27103440).

Almost surely, 25593040640 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 5593040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11708686080).

5593040640 is an abundant number, since it is smaller than the sum of its proper divisors (17824331520).

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

5593040640 is a wasteful number, since it uses less digits than its factorization.

5593040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5593040640 is about 74786.6340999513. The cubic root of 5593040640 is about 1775.0720743067.

The spelling of 5593040640 in words is "five billion, five hundred ninety-three million, forty thousand, six hundred forty".