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55426738560 = 273543532239
BaseRepresentation
bin110011100111101100…
…001110100110000000
312022001210012001102220
4303213230032212000
51402003221113220
641243535211040
74001345334654
oct634754164600
9168053161386
1055426738560
1121562a49056
12a8aa376a80
1352c414252b
14297b356a64
151695ee2540
hexce7b0e980

55426738560 has 384 divisors, whose sum is σ = 185027673600. Its totient is φ = 14105075712.

The previous prime is 55426738559. The next prime is 55426738567. The reversal of 55426738560 is 6583762455.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×554267385603 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55426738567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231910921 + ... + 231911159.

It is an arithmetic number, because the mean of its divisors is an integer number (481842900).

Almost surely, 255426738560 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 55426738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92513836800).

55426738560 is an abundant number, since it is smaller than the sum of its proper divisors (129600935040).

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

55426738560 is a wasteful number, since it uses less digits than its factorization.

55426738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 55426738560 in words is "fifty-five billion, four hundred twenty-six million, seven hundred thirty-eight thousand, five hundred sixty".