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54244550400 = 283528334039
BaseRepresentation
bin110010100001001110…
…100010011100000000
312012000101200200011020
4302201032202130000
51342043101103100
640530344545440
73630142033155
oct624116423400
9165011620136
1054244550400
11210066a8647
12a61a482280
135166246501
1428a834222c
1516273245a0
hexca13a2700

54244550400 has 216 divisors, whose sum is σ = 181180487040. Its totient is φ = 14290513920.

The previous prime is 54244550387. The next prime is 54244550411. The reversal of 54244550400 is 405544245.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1576581 + ... + 1610619.

Almost surely, 254244550400 is an apocalyptic number.

54244550400 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 54244550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90590243520).

54244550400 is an abundant number, since it is smaller than the sum of its proper divisors (126935936640).

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

54244550400 is a wasteful number, since it uses less digits than its factorization.

54244550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34151 (or 34132 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 33.

The spelling of 54244550400 in words is "fifty-four billion, two hundred forty-four million, five hundred fifty thousand, four hundred".