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20360126413440 = 2732511734401923
BaseRepresentation
bin1001010000100011101100…
…00110100011101010000000
32200002102001012211210210100
410220101312012203222000
510132040014330212230
6111145151333002400
74200653625024252
oct450216606435200
980072035753710
1020360126413440
11653a754633710
122349b19183400
13b48c4ab00978
1450561495bcd2
15254930e18660
hex1284761a3a80

20360126413440 has 384 divisors, whose sum is σ = 77748190303680. Its totient is φ = 4868173578240.

The previous prime is 20360126413337. The next prime is 20360126413441. The reversal of 20360126413440 is 4431462106302.

20360126413440 is a `hidden beast` number, since 2 + 0 + 3 + 6 + 0 + 1 + 2 + 641 + 3 + 4 + 4 + 0 = 666.

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

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 = 20360126413395 and 20360126413404.

It is not an unprimeable number, because it can be changed into a prime (20360126413441) 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, 2424319 + ... + 6826241.

Almost surely, 220360126413440 is an apocalyptic number.

20360126413440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20360126413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38874095151840).

20360126413440 is an abundant number, since it is smaller than the sum of its proper divisors (57388063890240).

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

20360126413440 is a wasteful number, since it uses less digits than its factorization.

20360126413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402032 (or 4402017 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 20360126413440 its reverse (4431462106302), we get a palindrome (24791588519742).

The spelling of 20360126413440 in words is "twenty trillion, three hundred sixty billion, one hundred twenty-six million, four hundred thirteen thousand, four hundred forty".