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561047422320 = 2433571116212081
BaseRepresentation
bin10000010101000010000…
…10000100010101110000
31222122011100201002022000
420022201002010111300
533143011120003240
61105424105214000
755351164255420
oct10124102042560
91878140632260
10561047422320
111a6a36709440
1290899791300
1340ba28aa188
141d224c4a480
15e8da2d3430
hex82a1084570

561047422320 has 640 divisors, whose sum is σ = 2411991336960. Its totient is φ = 116453376000.

The previous prime is 561047422277. The next prime is 561047422321. The reversal of 561047422320 is 23224740165.

561047422320 is a `hidden beast` number, since 5 + 610 + 4 + 7 + 4 + 2 + 2 + 32 + 0 = 666.

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 (561047422321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 269603680 + ... + 269605760.

It is an arithmetic number, because the mean of its divisors is an integer number (3768736464).

Almost surely, 2561047422320 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 561047422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205995668480).

561047422320 is an abundant number, since it is smaller than the sum of its proper divisors (1850943914640).

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

561047422320 is a wasteful number, since it uses less digits than its factorization.

561047422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 561047422320 in words is "five hundred sixty-one billion, forty-seven million, four hundred twenty-two thousand, three hundred twenty".