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5631428441520 = 2435571783139211
BaseRepresentation
bin101000111110010101101…
…0010101011010110110000
3201221100200221010102200000
41101330223102223112300
51214231131140112040
615551013103230000
71120600021646430
oct121745322532660
921840627112600
105631428441520
1118813035a9372
1276b4a9ba8300
1331b070012b1b
141567c3a6c2c0
159b7467ca130
hex51f2b4ab5b0

5631428441520 has 1920 divisors, whose sum is σ = 24306364293120. Its totient is φ = 1182628823040.

The previous prime is 5631428441453. The next prime is 5631428441539. The reversal of 5631428441520 is 251448241365.

5631428441520 is a `hidden beast` number, since 5 + 6 + 3 + 1 + 4 + 2 + 84 + 41 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26689234215 + ... + 26689234425.

It is an arithmetic number, because the mean of its divisors is an integer number (12659564736).

Almost surely, 25631428441520 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 5631428441520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12153182146560).

5631428441520 is an abundant number, since it is smaller than the sum of its proper divisors (18674935851600).

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

5631428441520 is a wasteful number, since it uses less digits than its factorization.

5631428441520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 5631428441520 in words is "five trillion, six hundred thirty-one billion, four hundred twenty-eight million, four hundred forty-one thousand, five hundred twenty".