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55034055120000 = 2735411171637523
BaseRepresentation
bin11001000001101100111010…
…10011100101010010000000
321012212012111220222201210210
430200312131103211102000
524203134221102320000
6313014143525154120
714410036122056355
oct1440663523452200
9235765456881723
1055034055120000
11165988a2420320
126209b7585b940
1324928c602c708
14d8393bbba62c
15656866ebc350
hex320d9d4e5480

55034055120000 has 1280 divisors, whose sum is σ = 212323268805120. Its totient is φ = 12478095360000.

The previous prime is 55034055119999. The next prime is 55034055120001. The reversal of 55034055120000 is 2155043055.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55034055119999) and next prime (55034055120001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 55034055120000.

It is not an unprimeable number, because it can be changed into a prime (55034055120001) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 7315436239 + ... + 7315443761.

It is an arithmetic number, because the mean of its divisors is an integer number (165877553754).

Almost surely, 255034055120000 is an apocalyptic number.

55034055120000 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 55034055120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106161634402560).

55034055120000 is an abundant number, since it is smaller than the sum of its proper divisors (157289213685120).

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

55034055120000 is a wasteful number, since it uses less digits than its factorization.

55034055120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7751 (or 7724 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 55034055120000 in words is "fifty-five trillion, thirty-four billion, fifty-five million, one hundred twenty thousand".