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55439705249712 = 24357172915232713
BaseRepresentation
bin11001001101100000011111…
…11100000001011110110000
321021021222120101021102200000
430212300033330001132300
524231311004020442322
6313524352103230000
714451246402221640
oct1446601774013660
9237258511242600
1055439705249712
1116734935337803
126274705148300
1324c1c320c7674
14d99420516520
156621a993d3ac
hex326c0ff017b0

55439705249712 has 960 divisors, whose sum is σ = 201623725255680. Its totient is φ = 14379328438272.

The previous prime is 55439705249653. The next prime is 55439705249713. The reversal of 55439705249712 is 21794250793455.

55439705249712 is a `hidden beast` number, since 5 + 5 + 4 + 3 + 9 + 7 + 0 + 524 + 97 + 12 = 666.

It is a super-4 number, since 4×554397052497124 (a number of 56 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 55439705249712.

It is not an unprimeable number, because it can be changed into a prime (55439705249713) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20434832868 + ... + 20434835580.

It is an arithmetic number, because the mean of its divisors is an integer number (210024713808).

Almost surely, 255439705249712 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 55439705249712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100811862627840).

55439705249712 is an abundant number, since it is smaller than the sum of its proper divisors (146184020005968).

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

55439705249712 is a wasteful number, since it uses less digits than its factorization.

55439705249712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 55439705249712 in words is "fifty-five trillion, four hundred thirty-nine billion, seven hundred five million, two hundred forty-nine thousand, seven hundred twelve".