Search a number
-
+
55812760789440 = 2635193135797583
BaseRepresentation
bin11001011000010111010111…
…10001111110000111000000
321022121122111021002101210210
430230023223301332013000
524303414013230230230
6314412010042154120
714520224146046124
oct1454135361760700
9238548437071723
1055812760789440
1116869071480316
126314a787b2940
13251b1753ccb95
14dad4cddb3584
1566bc40ac2eb0
hex32c2ebc7e1c0

55812760789440 has 224 divisors, whose sum is σ = 186539981829120. Its totient is φ = 14099471732736.

The previous prime is 55812760789427. The next prime is 55812760789447. The reversal of 55812760789440 is 4498706721855.

55812760789440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×558127607894402 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55812760789447) 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 31 ways as a sum of consecutive naturals, for example, 571902889 + ... + 572000471.

Almost surely, 255812760789440 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 55812760789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93269990914560).

55812760789440 is an abundant number, since it is smaller than the sum of its proper divisors (130727221039680).

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

55812760789440 is a wasteful number, since it uses less digits than its factorization.

55812760789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128979 (or 128969 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 66.

The spelling of 55812760789440 in words is "fifty-five trillion, eight hundred twelve billion, seven hundred sixty million, seven hundred eighty-nine thousand, four hundred forty".