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55126413144 = 233211432516449
BaseRepresentation
bin110011010101110010…
…100100111101011000
312021021212001221102100
4303111302210331120
51400344330210034
641154050203400
73661040531445
oct632562447530
9167255057370
1055126413144
1121419472130
12a825883560
135276b5c59a
14294d4da9cc
15167996c099
hexcd5ca4f58

55126413144 has 192 divisors, whose sum is σ = 167351184000. Its totient is φ = 16248960000.

The previous prime is 55126413143. The next prime is 55126413149. The reversal of 55126413144 is 44131462155.

55126413144 is a `hidden beast` number, since 5 + 5 + 1 + 2 + 641 + 3 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×551264131442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55126413099 and 55126413108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55126413143) 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 47 ways as a sum of consecutive naturals, for example, 8544832 + ... + 8551280.

It is an arithmetic number, because the mean of its divisors is an integer number (871620750).

Almost surely, 255126413144 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 55126413144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83675592000).

55126413144 is an abundant number, since it is smaller than the sum of its proper divisors (112224770856).

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

55126413144 is a wasteful number, since it uses less digits than its factorization.

55126413144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766 (or 6759 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 55126413144 its reverse (44131462155), we get a palindrome (99257875299).

The spelling of 55126413144 in words is "fifty-five billion, one hundred twenty-six million, four hundred thirteen thousand, one hundred forty-four".