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48422908800 = 27325271771199
BaseRepresentation
bin101101000110001110…
…101111001110000000
311121222200020122012200
4231012032233032000
51243132231040200
634124542553200
73332651635140
oct550616571600
9147880218180
1048422908800
11195995190a2
129474898800
1347490c8376
1424b50c0920
1513d61bd800
hexb463af380

48422908800 has 1152 divisors, whose sum is σ = 213093504000. Its totient is φ = 10218700800.

The previous prime is 48422908799. The next prime is 48422908801. The reversal of 48422908800 is 880922484.

It is a happy number.

48422908800 is a `hidden beast` number, since 484 + 2 + 2 + 90 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48422908799) and next prime (48422908801).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48422908801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 243331101 + ... + 243331299.

It is an arithmetic number, because the mean of its divisors is an integer number (184977000).

Almost surely, 248422908800 is an apocalyptic number.

48422908800 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 48422908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106546752000).

48422908800 is an abundant number, since it is smaller than the sum of its proper divisors (164670595200).

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

48422908800 is a wasteful number, since it uses less digits than its factorization.

48422908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 48422908800 in words is "forty-eight billion, four hundred twenty-two million, nine hundred eight thousand, eight hundred".