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561447827200 = 28521337271673
BaseRepresentation
bin10000010101110001110…
…01011111011100000000
31222200012021010202112101
420022320321133130000
533144321120432300
61105531531240144
755364125534531
oct10127071373400
91880167122471
10561447827200
111a7121730567
129098b8a9054
1340c37830b40
141d2620b8688
15e910526b6a
hex82b8e5f700

561447827200 has 432 divisors, whose sum is σ = 1544980587136. Its totient is φ = 200658124800.

The previous prime is 561447827189. The next prime is 561447827207. The reversal of 561447827200 is 2728744165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561447827207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834246064 + ... + 834246736.

Almost surely, 2561447827200 is an apocalyptic number.

561447827200 is a gapful number since it is divisible by the number (50) 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 561447827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772490293568).

561447827200 is an abundant number, since it is smaller than the sum of its proper divisors (983532759936).

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

561447827200 is a wasteful number, since it uses less digits than its factorization.

561447827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 561447827200 in words is "five hundred sixty-one billion, four hundred forty-seven million, eight hundred twenty-seven thousand, two hundred".