Base | Representation |
---|---|
bin | 11001000111000110110111… |
… | …10111101110000110000000 |
3 | 21020111221220222212122120000 |
4 | 30203203123313232012000 |
5 | 24214210111310440100 |
6 | 313235342013320000 |
7 | 14426332555510026 |
oct | 1443433367560600 |
9 | 236457828778500 |
10 | 55219788374400 |
11 | 1665a642a62381 |
12 | 6239b6b496000 |
13 | 24a72856b6290 |
14 | d8c91b1ca716 |
15 | 65b5d7bbc900 |
hex | 3238dbdee180 |
55219788374400 has 1920 divisors, whose sum is σ = 227936365826400. Its totient is φ = 13070647296000.
The previous prime is 55219788374389. The next prime is 55219788374423. The reversal of 55219788374400 is 447388791255.
55219788374400 is a `hidden beast` number, since 5 + 5 + 2 + 19 + 78 + 83 + 74 + 400 = 666.
55219788374400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a super-2 number, since 2×552197883744002 (a number of 28 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
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 239 ways as a sum of consecutive naturals, for example, 27458869395 + ... + 27458871405.
Almost surely, 255219788374400 is an apocalyptic number.
55219788374400 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 55219788374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113968182913200).
55219788374400 is an abundant number, since it is smaller than the sum of its proper divisors (172716577452000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55219788374400 is a wasteful number, since it uses less digits than its factorization.
55219788374400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2370 (or 2344 counting only the distinct ones).
The product of its (nonzero) digits is 67737600, while the sum is 63.
The spelling of 55219788374400 in words is "fifty-five trillion, two hundred nineteen billion, seven hundred eighty-eight million, three hundred seventy-four thousand, four hundred".
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