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55913602026240 = 283115735227
BaseRepresentation
bin11001011011010011001100…
…11000110000101100000000
321022222021210001200000000000
430231221212120300230000
524312042024104314430
6314530204300000000
714530424116320060
oct1455514630605400
9238867701600000
1055913602026240
11168a7909752042
126330520230000
13252782629cc7a
14db4338a553a0
1566e693acce60
hex32da66630b00

55913602026240 has 864 divisors, whose sum is σ = 229601313876480. Its totient is φ = 12779889094656.

The previous prime is 55913602026239. The next prime is 55913602026251. The reversal of 55913602026240 is 4262020631955.

55913602026240 is a `hidden beast` number, since 5 + 5 + 9 + 1 + 360 + 20 + 26 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1587219507 + ... + 1587254733.

Almost surely, 255913602026240 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 55913602026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114800656938240).

55913602026240 is an abundant number, since it is smaller than the sum of its proper divisors (173687711850240).

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

55913602026240 is an frugal number, since it uses more digits than its factorization.

55913602026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35288 (or 35244 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

It can be divided in two parts, 5591360 and 2026240, that added together give a square (7617600 = 27602).

The spelling of 55913602026240 in words is "fifty-five trillion, nine hundred thirteen billion, six hundred two million, twenty-six thousand, two hundred forty".