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56341447668 = 223411171575923
BaseRepresentation
bin110100011110001101…
…100100001111110100
312101102112101002110000
4310132031210033310
51410341402311133
641514412431300
74033123255242
oct643615441764
9171375332400
1056341447668
11219923075a0
12ab04778530
13540b7b901c
142a26a21792
1516eb477413
hexd1e3643f4

56341447668 has 240 divisors, whose sum is σ = 171241608384. Its totient is φ = 15963816960.

The previous prime is 56341447663. The next prime is 56341447733. The reversal of 56341447668 is 86674414365.

56341447668 is a `hidden beast` number, since 563 + 4 + 1 + 4 + 4 + 76 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56341447661) 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 79 ways as a sum of consecutive naturals, for example, 9509355 + ... + 9515277.

Almost surely, 256341447668 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 56341447668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85620804192).

56341447668 is an abundant number, since it is smaller than the sum of its proper divisors (114900160716).

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

56341447668 is a wasteful number, since it uses less digits than its factorization.

56341447668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124 (or 6113 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 56341447668 in words is "fifty-six billion, three hundred forty-one million, four hundred forty-seven thousand, six hundred sixty-eight".