Search a number
-
+
55443345544000 = 265361127788969
BaseRepresentation
bin11001001101100111010001…
…11010101001001101000000
321021022022222002010112122101
430212303220322221031000
524231340432424402000
6313530153223320144
714451435534215551
oct1446635072511500
9237268862115571
1055443345544000
1116736433177787
1262753602b0054
1324c239234525b
14d99687b94328
1566231e30de6a
hex326ce8ea9340

55443345544000 has 224 divisors, whose sum is σ = 139667208539040. Its totient is φ = 21796448256000.

The previous prime is 55443345543973. The next prime is 55443345544021. The reversal of 55443345544000 is 44554334455.

It can be written as a sum of positive squares in 16 ways, for example, as 45233480141056 + 10209865402944 = 6725584^2 + 3195288^2 .

It is a super-2 number, since 2×554433455440002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623131516 + ... + 623220484.

It is an arithmetic number, because the mean of its divisors is an integer number (623514323835).

Almost surely, 255443345544000 is an apocalyptic number.

55443345544000 is a gapful number since it is divisible by the number (50) 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 55443345544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69833604269520).

55443345544000 is an abundant number, since it is smaller than the sum of its proper divisors (84223862995040).

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

55443345544000 is a wasteful number, since it uses less digits than its factorization.

55443345544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90334 (or 90314 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 46.

Adding to 55443345544000 its reverse (44554334455), we get a palindrome (55487899878455).

The spelling of 55443345544000 in words is "fifty-five trillion, four hundred forty-three billion, three hundred forty-five million, five hundred forty-four thousand".