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53328211200 = 28325211174951
BaseRepresentation
bin110001101010100110…
…111110110100000000
312002122112102211002100
4301222212332310000
51333204010224300
640255412350400
73565344213255
oct615246766400
9162575384070
1053328211200
1120686426420
12a403615400
13504b44ba74
14281c77142c
1515c1b6b700
hexc6a9bed00

53328211200 has 648 divisors, whose sum is σ = 220272526656. Its totient is φ = 12165120000.

The previous prime is 53328211199. The next prime is 53328211213. The reversal of 53328211200 is 211282335.

53328211200 is a `hidden beast` number, since 533 + 2 + 8 + 2 + 1 + 120 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 10768725 + ... + 10773675.

Almost surely, 253328211200 is an apocalyptic number.

53328211200 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 53328211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110136263328).

53328211200 is an abundant number, since it is smaller than the sum of its proper divisors (166944315456).

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

53328211200 is a wasteful number, since it uses less digits than its factorization.

53328211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 53328211200 its reverse (211282335), we get a palindrome (53539493535).

The spelling of 53328211200 in words is "fifty-three billion, three hundred twenty-eight million, two hundred eleven thousand, two hundred".