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561832056400 = 24521404580141
BaseRepresentation
bin10000010110011111100…
…11001101011001010000
31222201012001010121220111
420023033303031121100
533201113001301100
61110034014451104
755406502453346
oct10131763153120
91881161117814
10561832056400
111a72a960465a
1290a78503a94
1340c9930ccb4
141d29b135996
15e9341226ba
hex82cfccd650

561832056400 has 30 divisors (see below), whose sum is σ = 1349801516462. Its totient is φ = 224732822400.

The previous prime is 561832056371. The next prime is 561832056403. The reversal of 561832056400 is 4650238165.

It can be written as a sum of positive squares in 3 ways, for example, as 135769104 + 561696287296 = 11652^2 + 749464^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561832056403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 702289671 + ... + 702290470.

Almost surely, 2561832056400 is an apocalyptic number.

561832056400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

561832056400 is an abundant number, since it is smaller than the sum of its proper divisors (787969460062).

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

561832056400 is a wasteful number, since it uses less digits than its factorization.

561832056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404580159 (or 1404580148 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 561832056400 in words is "five hundred sixty-one billion, eight hundred thirty-two million, fifty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1404580141 2809160282 5618320564 7022900705 11236641128 14045801410 22473282256 28091602820 35114503525 56183205640 70229007050 112366411280 140458014100 280916028200 561832056400