Search a number
-
+
5649435648 = 2103217107337
BaseRepresentation
bin1010100001011101…
…11000110000000000
3112120201102001210100
411100232320300000
543032223420043
62332331002400
7256666260603
oct52056706000
915521361710
105649435648
112439a6068a
121117b99400
136c0575a3c
143b843633a
15230e8bcd3
hex150bb8c00

5649435648 has 264 divisors, whose sum is σ = 17485342992. Its totient is φ = 1750597632.

The previous prime is 5649435643. The next prime is 5649435677. The reversal of 5649435648 is 8465349465.

5649435648 is a `hidden beast` number, since 564 + 9 + 4 + 35 + 6 + 48 = 666.

It is a super-2 number, since 2×56494356482 = 63832246281786359808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5649435594 and 5649435603.

It is not an unprimeable number, because it can be changed into a prime (5649435641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16763736 + ... + 16764072.

Almost surely, 25649435648 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 5649435648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8742671496).

5649435648 is an abundant number, since it is smaller than the sum of its proper divisors (11835907344).

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

5649435648 is a wasteful number, since it uses less digits than its factorization.

5649435648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 466 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The square root of 5649435648 is about 75162.7277844544. The cubic root of 5649435648 is about 1781.0181911896.

The spelling of 5649435648 in words is "five billion, six hundred forty-nine million, four hundred thirty-five thousand, six hundred forty-eight".