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55926331162240 = 2757117918179367
BaseRepresentation
bin11001011011101010111010…
…00110100011111010000000
321100000111122011210002220111
430231311131012203322000
524312244111234142430
6314540111333321104
714531354423224540
oct1455653506437200
9240014564702814
1055926331162240
1116902250a43350
126332a93196194
132528aa45057c6
14db4bc5433320
1566eb8b378c2a
hex32dd5d1a3e80

55926331162240 has 512 divisors, whose sum is σ = 169734245990400. Its totient is φ = 17115627110400.

The previous prime is 55926331162147. The next prime is 55926331162241. The reversal of 55926331162240 is 4226113362955.

55926331162240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55926331162241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 704615037 + ... + 704694403.

It is an arithmetic number, because the mean of its divisors is an integer number (331512199200).

Almost surely, 255926331162240 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 55926331162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84867122995200).

55926331162240 is an abundant number, since it is smaller than the sum of its proper divisors (113807914828160).

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

55926331162240 is a wasteful number, since it uses less digits than its factorization.

55926331162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79664 (or 79652 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 49.

The spelling of 55926331162240 in words is "fifty-five trillion, nine hundred twenty-six billion, three hundred thirty-one million, one hundred sixty-two thousand, two hundred forty".