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5661056304 = 243517412089
BaseRepresentation
bin1010100010110110…
…01101110100110000
3112121112021110100000
411101123031310300
543043212300204
62333424030000
7260200120221
oct52133156460
915545243300
105661056304
112445578432
12111ba62300
136c2ab4177
143b9bbd248
15231ed5039
hex1516cdd30

5661056304 has 240 divisors, whose sum is σ = 17829171360. Its totient is φ = 1731870720.

The previous prime is 5661056267. The next prime is 5661056333. The reversal of 5661056304 is 4036501665.

5661056304 is a `hidden beast` number, since 5 + 6 + 6 + 10 + 5 + 630 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2708892 + ... + 2710980.

It is an arithmetic number, because the mean of its divisors is an integer number (74288214).

Almost surely, 25661056304 is an apocalyptic number.

5661056304 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 5661056304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8914585680).

5661056304 is an abundant number, since it is smaller than the sum of its proper divisors (12168115056).

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

5661056304 is a wasteful number, since it uses less digits than its factorization.

5661056304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5661056304 is about 75239.9913875593. The cubic root of 5661056304 is about 1782.2385151611.

Adding to 5661056304 its reverse (4036501665), we get a palindrome (9697557969).

The spelling of 5661056304 in words is "five billion, six hundred sixty-one million, fifty-six thousand, three hundred four".