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56284213338 = 23347137161873
BaseRepresentation
bin110100011010110011…
…001111000001011010
312101021112200021201000
4310122303033001122
51410232224311323
641505010005430
74031526630303
oct643263170132
9171245607630
1056284213338
1121962a755a1
12aaa9576876
1353cc999b62
142a1d1a37aa
1516e641de43
hexd1accf05a

56284213338 has 64 divisors (see below), whose sum is σ = 128670405120. Its totient is φ = 18228082176.

The previous prime is 56284213313. The next prime is 56284213351. The reversal of 56284213338 is 83331248265.

56284213338 is a `hidden beast` number, since 5 + 628 + 4 + 2 + 13 + 3 + 3 + 8 = 666.

56284213338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56284213293 and 56284213302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266770 + ... + 428642.

It is an arithmetic number, because the mean of its divisors is an integer number (2010475080).

Almost surely, 256284213338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56284213338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64335202560).

56284213338 is an abundant number, since it is smaller than the sum of its proper divisors (72386191782).

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

56284213338 is a wasteful number, since it uses less digits than its factorization.

56284213338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162068 (or 162062 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 56284213338 in words is "fifty-six billion, two hundred eighty-four million, two hundred thirteen thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 47 54 94 137 141 274 282 411 423 822 846 1233 1269 2466 2538 3699 6439 7398 12878 19317 38634 57951 115902 161873 173853 323746 347706 485619 971238 1456857 2913714 4370571 7608031 8741142 15216062 22176601 22824093 44353202 45648186 66529803 68472279 133059606 136944558 199589409 205416837 399178818 410833674 598768227 1042300247 1197536454 2084600494 3126900741 6253801482 9380702223 18761404446 28142106669 56284213338