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5701563648 = 283311314159
BaseRepresentation
bin1010100111101011…
…01111010100000000
3112201100111102222000
411103311233110000
543134100014043
62341432144000
7261201330354
oct52365572400
915640442860
105701563648
112466425180
121131538000
136cb2c7901
143c1325464
152358372d3
hex153d6f500

5701563648 has 576 divisors, whose sum is σ = 19779379200. Its totient is φ = 1603584000.

The previous prime is 5701563641. The next prime is 5701563653. The reversal of 5701563648 is 8463651075.

5701563648 is a `hidden beast` number, since 5 + 7 + 0 + 1 + 5 + 636 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5701563641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96636643 + ... + 96636701.

It is an arithmetic number, because the mean of its divisors is an integer number (34339200).

Almost surely, 25701563648 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 5701563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9889689600).

5701563648 is an abundant number, since it is smaller than the sum of its proper divisors (14077815552).

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

5701563648 is a wasteful number, since it uses less digits than its factorization.

5701563648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5701563648 is about 75508.6991544683. The cubic root of 5701563648 is about 1786.4793160150.

The spelling of 5701563648 in words is "five billion, seven hundred one million, five hundred sixty-three thousand, six hundred forty-eight".