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4888438128 = 2434717291093
BaseRepresentation
bin1001000110101111…
…11010010101110000
3110121200110101110000
410203113322111300
540002420010003
62125024110000
7232066016130
oct44327722560
913550411400
104888438128
112089439a12
12b45165300
135cb9ca652
14345340ac0
151d926b1a3
hex1235fa570

4888438128 has 400 divisors, whose sum is σ = 17727526080. Its totient is φ = 1268047872.

The previous prime is 4888438033. The next prime is 4888438133. The reversal of 4888438128 is 8218348884.

4888438128 is a `hidden beast` number, since 4 + 8 + 88 + 438 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 79 ways as a sum of consecutive naturals, for example, 4471950 + ... + 4473042.

Almost surely, 24888438128 is an apocalyptic number.

4888438128 is a gapful number since it is divisible by the number (48) 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 4888438128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8863763040).

4888438128 is an abundant number, since it is smaller than the sum of its proper divisors (12839087952).

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

4888438128 is a wasteful number, since it uses less digits than its factorization.

4888438128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1151 counting only the distinct ones).

The product of its digits is 3145728, while the sum is 54.

The square root of 4888438128 is about 69917.3664263751. The cubic root of 4888438128 is about 1697.1622932752.

The spelling of 4888438128 in words is "four billion, eight hundred eighty-eight million, four hundred thirty-eight thousand, one hundred twenty-eight".