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51452425200 = 24352114195071
BaseRepresentation
bin101111111010110011…
…011011001111110000
311220210210211000102210
4233322303123033300
51320333310101300
635345324012120
73501016253361
oct577263331760
9156723730383
1051452425200
111a903609660
129b7b391040
134b0c945717
1426c15abb68
151512143050
hexbfacdb3f0

51452425200 has 240 divisors, whose sum is σ = 184190211072. Its totient is φ = 12168960000.

The previous prime is 51452425187. The next prime is 51452425207. The reversal of 51452425200 is 252425415.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51452425207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 493665 + ... + 588735.

Almost surely, 251452425200 is an apocalyptic number.

51452425200 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 51452425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92095105536).

51452425200 is an abundant number, since it is smaller than the sum of its proper divisors (132737785872).

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

51452425200 is a wasteful number, since it uses less digits than its factorization.

51452425200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95144 (or 95133 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 51452425200 in words is "fifty-one billion, four hundred fifty-two million, four hundred twenty-five thousand, two hundred".