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48282109608384 = 26356175031701
BaseRepresentation
bin10101111101001100011011…
…11111100000000111000000
320022221201120020022101100000
422332212031333200013000
522312023230024432014
6250404254524200000
713112160454134321
oct1276461577400700
9208851506271300
1048282109608384
1114425367186593
1254b9490999000
1320c2ca26b5c82
14bccc1bc42448
1558addd8d9509
hex2be98dfe01c0

48282109608384 has 168 divisors, whose sum is σ = 143750211394608. Its totient is φ = 16067949004800.

The previous prime is 48282109608379. The next prime is 48282109608389. The reversal of 48282109608384 is 48380690128284.

48282109608384 is a `hidden beast` number, since 4 + 8 + 2 + 8 + 2 + 10 + 9 + 608 + 3 + 8 + 4 = 666.

48282109608384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48282109608379) and next prime (48282109608389).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48282109608389) 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, 7079734 + ... + 12111434.

It is an arithmetic number, because the mean of its divisors is an integer number (855656020206).

Almost surely, 248282109608384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48282109608384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71875105697304).

48282109608384 is an abundant number, since it is smaller than the sum of its proper divisors (95468101786224).

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

48282109608384 is an equidigital number, since it uses as much as digits as its factorization.

48282109608384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032345 (or 5032323 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 48282109608384 in words is "forty-eight trillion, two hundred eighty-two billion, one hundred nine million, six hundred eight thousand, three hundred eighty-four".