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5541244128 = 253375359293
BaseRepresentation
bin1010010100100100…
…01010110011100000
3112022011211100221000
411022102022303200
542322024303003
62313504032000
7254213540460
oct51222126340
915264740830
105541244128
112393984802
1210a7902600
136a40248a4
143a7d11ba0
1522671a1a3
hex14a48ace0

5541244128 has 384 divisors, whose sum is σ = 19203609600. Its totient is φ = 1521801216.

The previous prime is 5541244127. The next prime is 5541244133. The reversal of 5541244128 is 8214421455.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5541244092 and 5541244101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5541244123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18911950 + ... + 18912242.

It is an arithmetic number, because the mean of its divisors is an integer number (50009400).

Almost surely, 25541244128 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 5541244128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9601804800).

5541244128 is an abundant number, since it is smaller than the sum of its proper divisors (13662365472).

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

5541244128 is a wasteful number, since it uses less digits than its factorization.

5541244128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 417 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 5541244128 is about 74439.5333676938. The cubic root of 5541244128 is about 1769.5754914163.

The spelling of 5541244128 in words is "five billion, five hundred forty-one million, two hundred forty-four thousand, one hundred twenty-eight".