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561511104 = 263711191999
BaseRepresentation
bin100001011101111…
…111101011000000
31110010120201102120
4201131333223000
52122221323404
6131415044240
716625523420
oct4135775300
91403521376
10561511104
11268a5a670
12138070680
138c440abb
1454808480
15344689d9
hex2177fac0

561511104 has 224 divisors, whose sum is σ = 1950720000. Its totient is φ = 138101760.

The previous prime is 561511081. The next prime is 561511147. The reversal of 561511104 is 401115165.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279897 + ... + 281895.

Almost surely, 2561511104 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 561511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975360000).

561511104 is an abundant number, since it is smaller than the sum of its proper divisors (1389208896).

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

561511104 is a wasteful number, since it uses less digits than its factorization.

561511104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 561511104 is about 23696.2255222219. The cubic root of 561511104 is about 824.9977858526.

Adding to 561511104 its reverse (401115165), we get a palindrome (962626269).

The spelling of 561511104 in words is "five hundred sixty-one million, five hundred eleven thousand, one hundred four".