Search a number
-
+
5563413504 = 210331121663
BaseRepresentation
bin1010010111001101…
…01111010000000000
3112100201112200121000
411023212233100000
542343213213004
62320015132000
7254603143305
oct51346572000
915321480530
105563413504
1123a5446a00
1210b3214000
136a87b756c
143aac430ac
15228648c39
hex14b9af400

5563413504 has 264 divisors, whose sum is σ = 18121026560. Its totient is φ = 1684869120.

The previous prime is 5563413431. The next prime is 5563413509. The reversal of 5563413504 is 4053143655.

5563413504 is a `hidden beast` number, since 5 + 5 + 634 + 13 + 5 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5563413509) 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, 3344577 + ... + 3346239.

Almost surely, 25563413504 is an apocalyptic number.

5563413504 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 5563413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9060513280).

5563413504 is an abundant number, since it is smaller than the sum of its proper divisors (12557613056).

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

5563413504 is a wasteful number, since it uses less digits than its factorization.

5563413504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 5563413504 is about 74588.2933441971. The cubic root of 5563413504 is about 1771.9322535404.

The spelling of 5563413504 in words is "five billion, five hundred sixty-three million, four hundred thirteen thousand, five hundred four".