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5663758464 = 27367132329
BaseRepresentation
bin1010100011001011…
…00001100010000000
3112121201100202000000
411101211201202000
543044410232324
62334002000000
7260232103230
oct52145414200
915551322000
105663758464
112447053621
121120946000
136c351c090
143ba2c3cc0
1523236a9c9
hex151961880

5663758464 has 896 divisors, whose sum is σ = 22475577600. Its totient is φ = 1379524608.

The previous prime is 5663758433. The next prime is 5663758489. The reversal of 5663758464 is 4648573665.

5663758464 is a `hidden beast` number, since 56 + 6 + 3 + 7 + 584 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5663758464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 195302002 + ... + 195302030.

It is an arithmetic number, because the mean of its divisors is an integer number (25084350).

Almost surely, 25663758464 is an apocalyptic number.

5663758464 is a gapful number since it is divisible by the number (54) 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 5663758464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11237788800).

5663758464 is an abundant number, since it is smaller than the sum of its proper divisors (16811819136).

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

5663758464 is a wasteful number, since it uses less digits than its factorization.

5663758464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The square root of 5663758464 is about 75257.9461851039. The cubic root of 5663758464 is about 1782.5220386664.

The spelling of 5663758464 in words is "five billion, six hundred sixty-three million, seven hundred fifty-eight thousand, four hundred sixty-four".