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5688558720 = 273451323367
BaseRepresentation
bin1010100110001000…
…01000010010000000
3112200110000201120000
411103010020102000
543122232334340
62340245320000
7260652644205
oct52304102200
915613021500
105688558720
11245a0523a9
121129106000
136c86c33a0
143bd6dbcac
15234618d30
hex153108480

5688558720 has 640 divisors, whose sum is σ = 22890954240. Its totient is φ = 1335730176.

The previous prime is 5688558647. The next prime is 5688558731. The reversal of 5688558720 is 278558865.

It is a happy number.

5688558720 is a `hidden beast` number, since 5 + 6 + 88 + 558 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15499977 + ... + 15500343.

It is an arithmetic number, because the mean of its divisors is an integer number (35767116).

Almost surely, 25688558720 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 5688558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11445477120).

5688558720 is an abundant number, since it is smaller than the sum of its proper divisors (17202395520).

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

5688558720 is a wasteful number, since it uses less digits than its factorization.

5688558720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The square root of 5688558720 is about 75422.5345636170. The cubic root of 5688558720 is about 1785.1199975822.

The spelling of 5688558720 in words is "five billion, six hundred eighty-eight million, five hundred fifty-eight thousand, seven hundred twenty".