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48084000803200 = 275249140937477
BaseRepresentation
bin10101110111011011011011…
…10010011000100110000000
320022020210012200122100102001
422323231231302120212000
522300302013201200300
6250133252433033344
713061645236104655
oct1273555562304600
9208223180570361
1048084000803200
11143593459a700a
1254870026b5854
1320aa3c01368ab
14bc33c6db5c2c
15585b964d416a
hex2bbb6dc98980

48084000803200 has 192 divisors, whose sum is σ = 119069430430320. Its totient is φ = 19187171942400.

The previous prime is 48084000803191. The next prime is 48084000803203. The reversal of 48084000803200 is 230800048084.

48084000803200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480840008032003 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 48084000803200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48084000803203) 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 23 ways as a sum of consecutive naturals, for example, 6430917862 + ... + 6430925338.

Almost surely, 248084000803200 is an apocalyptic number.

48084000803200 is a gapful number since it is divisible by the number (40) 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 48084000803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59534715215160).

48084000803200 is an abundant number, since it is smaller than the sum of its proper divisors (70985429627120).

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

48084000803200 is a wasteful number, since it uses less digits than its factorization.

48084000803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12085 (or 12068 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 48084000803200 in words is "forty-eight trillion, eighty-four billion, eight hundred three thousand, two hundred".