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53740800000 = 2113355311
BaseRepresentation
bin110010000011001100…
…111000100000000000
312010201021210111112000
4302003030320200000
51340030121100000
640404351504000
73611514156126
oct620314704000
9163637714460
1053740800000
112087830a4a8
12a4b9828000
1350b5a7a354
14285b491916
1515e7eba000
hexc83338800

53740800000 has 576 divisors, whose sum is σ = 199618473600. Its totient is φ = 14284800000.

The previous prime is 53740799971. The next prime is 53740800011. The reversal of 53740800000 is 804735.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172799845 + ... + 172800155.

It is an arithmetic number, because the mean of its divisors is an integer number (346559850).

Almost surely, 253740800000 is an apocalyptic number.

53740800000 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 53740800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99809236800).

53740800000 is an abundant number, since it is smaller than the sum of its proper divisors (145877673600).

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

53740800000 is an frugal number, since it uses more digits than its factorization.

53740800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 53740800000 in words is "fifty-three billion, seven hundred forty million, eight hundred thousand".