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5634413568 = 21033724159
BaseRepresentation
bin1010011111101011…
…00101010000000000
3112112200010212101000
411033311211100000
543014402213233
62331033012000
7256424503500
oct51765452000
915480125330
105634413568
112431530343
121112b54000
136ba416334
143b6445a00
1522e9c0d13
hex14fd65400

5634413568 has 264 divisors, whose sum is σ = 19415385600. Its totient is φ = 1609445376.

The previous prime is 5634413563. The next prime is 5634413591. The reversal of 5634413568 is 8653144365.

5634413568 is a `hidden beast` number, since 5 + 634 + 4 + 1 + 3 + 5 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5634413563) 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, 1352673 + ... + 1356831.

Almost surely, 25634413568 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 5634413568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9707692800).

5634413568 is an abundant number, since it is smaller than the sum of its proper divisors (13780972032).

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

5634413568 is a wasteful number, since it uses less digits than its factorization.

5634413568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202 (or 4171 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 5634413568 is about 75062.7308855733. The cubic root of 5634413568 is about 1779.4381899076.

It can be divided in two parts, 563441 and 3568, that added together give a square (567009 = 7532).

The spelling of 5634413568 in words is "five billion, six hundred thirty-four million, four hundred thirteen thousand, five hundred sixty-eight".