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561316065408 = 273572578061
BaseRepresentation
bin10000010101100010000…
…10110111000010000000
31222122212002012120100000
420022301002313002000
533144033403043113
61105510503200000
755360635555420
oct10126102670200
91878762176300
10561316065408
111a7064315a1a
1290953746000
1340c16449497
141d24c7ba480
15e903b9b373
hex82b10b7080

561316065408 has 192 divisors, whose sum is σ = 1914365718720. Its totient is φ = 160375956480.

The previous prime is 561316065361. The next prime is 561316065419. The reversal of 561316065408 is 804560613165.

561316065408 is a `hidden beast` number, since 5 + 6 + 1 + 31 + 606 + 5 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1071303 + ... + 1506758.

It is an arithmetic number, because the mean of its divisors is an integer number (9970654785).

Almost surely, 2561316065408 is an apocalyptic number.

It is an amenable number.

561316065408 is an abundant number, since it is smaller than the sum of its proper divisors (1353049653312).

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

561316065408 is an equidigital number, since it uses as much as digits as its factorization.

561316065408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578097 (or 2578073 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 561316065408 in words is "five hundred sixty-one billion, three hundred sixteen million, sixty-five thousand, four hundred eight".