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54235350000 = 2432551373127
BaseRepresentation
bin110010100000101011…
…011100001111110000
312011222202101020120200
4302200223130033300
51342033222200000
640525415435200
73630000603636
oct624053341760
9164882336520
1054235350000
1121001494207
12a617385b00
1351643748a0
1428a7029356
151626608500
hexca0adc3f0

54235350000 has 720 divisors, whose sum is σ = 208740639744. Its totient is φ = 13063680000.

The previous prime is 54235349977. The next prime is 54235350017. The reversal of 54235350000 is 5353245.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 427049937 + ... + 427050063.

Almost surely, 254235350000 is an apocalyptic number.

54235350000 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 54235350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104370319872).

54235350000 is an abundant number, since it is smaller than the sum of its proper divisors (154505289744).

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

54235350000 is a wasteful number, since it uses less digits than its factorization.

54235350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The spelling of 54235350000 in words is "fifty-four billion, two hundred thirty-five million, three hundred fifty thousand".