Search a number
-
+
55344124000000 = 2856115921319
BaseRepresentation
bin11001001010101110011101…
…10110011111011100000000
321020221211212011021212021101
430211113032312133130000
524223224231221000000
6313412423425304144
714441323662054223
oct1445271666373400
9236854764255241
1055344124000000
11166a83471a8150
12625a08b195054
1324b5c0bbb4584
14d949542915ba
1565e9635e2e6a
hex3255ced9f700

55344124000000 has 504 divisors, whose sum is σ = 153202226486400. Its totient is φ = 19783104000000.

The previous prime is 55344123999947. The next prime is 55344124000027. The reversal of 55344124000000 is 42144355.

It is a super-2 number, since 2×553441240000002 (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 55 ways as a sum of consecutive naturals, for example, 2595989341 + ... + 2596010659.

It is an arithmetic number, because the mean of its divisors is an integer number (303972671600).

Almost surely, 255344124000000 is an apocalyptic number.

55344124000000 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 55344124000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76601113243200).

55344124000000 is an abundant number, since it is smaller than the sum of its proper divisors (97858102486400).

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

55344124000000 is an frugal number, since it uses more digits than its factorization.

55344124000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21435 (or 21396 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 55344124000000 its reverse (42144355), we get a palindrome (55344166144355).

The spelling of 55344124000000 in words is "fifty-five trillion, three hundred forty-four billion, one hundred twenty-four million", and thus it is an aban number.