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48004813200 = 2435240004011
BaseRepresentation
bin101100101101010011…
…110101000110010000
311120220112112011212110
4230231103311012100
51241303213010300
634015245425320
73316414115421
oct545523650620
9146815464773
1048004813200
11193a4513743
12937886b240
1346b05bc416
142475769648
1513ae633550
hexb2d4f5190

48004813200 has 60 divisors (see below), whose sum is σ = 153775422128. Its totient is φ = 12801283200.

The previous prime is 48004813133. The next prime is 48004813247. The reversal of 48004813200 is 231840084.

It is a tau number, because it is divible by the number of its divisors (60).

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

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 11 ways as a sum of consecutive naturals, for example, 20000806 + ... + 20003205.

Almost surely, 248004813200 is an apocalyptic number.

48004813200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48004813200 is an abundant number, since it is smaller than the sum of its proper divisors (105770608928).

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

48004813200 is a wasteful number, since it uses less digits than its factorization.

48004813200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40004032 (or 40004021 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 48004813200 in words is "forty-eight billion, four million, eight hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 40004011 80008022 120012033 160016044 200020055 240024066 320032088 400040110 480048132 600060165 640064176 800080220 960096264 1000100275 1200120330 1600160440 1920192528 2000200550 2400240660 3000300825 3200320880 4000401100 4800481320 6000601650 8000802200 9600962640 12001203300 16001604400 24002406600 48004813200